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Encyclopedia results for Kazimierz Kuratowski

Kazimierz Kuratowski





Encyclopedia results for Kazimierz Kuratowski

  1. Kazimierz Kuratowski

    Infobox scientist name Kazimierz Kuratowski image Kazimierz Kuratowski.jpg image size caption birth date ... Kazimierz Kuratowski was born in Warsaw , then part of the Russian Empire , on February 2, 1896. He ... section. One of his students was Andrzej Mostowski . Legacy Kazimierz Kuratowski was one of a celebrated ... areas of pure and applied mathematics, were published in these volumes. Kazimierz Kuratowski was an active ... two points. The most valuable results, which were obtained by Kazimierz Kuratowski after the war are those .... Kazimierz Kuratowski represented Polish mathematics in the International Mathematics Union where ... Reflist Refbegin Kazimierz Kuratowski, A Half Century of Polish Mathematics Remembrances and Reflections .... Dr. Kazimierz Kuratowski in Topology in Polish language Polish , Wiadomo ci matematyczne , vol. 2 ... id 24546 Persondata Metadata see Wikipedia Persondata . NAME Kuratowski, Kazimierz ALTERNATIVE ..., 1980 PLACE OF DEATH Warsaw DEFAULTSORT Kuratowski, Kazimierz Category 1896 births Category 1980 deaths ... cs Kazimierz Kuratowski co Kazimierz Kuratowski de Kazimierz Kuratowski et Kazimierz Kuratowski es Kazimierz Kuratowski eo Kazimierz Kuratowski fr Kazimierz Kuratowski fur Kazimierz Kuratowski it Kazimierz Kuratowski ka hu Kazimierz Kuratowski nl Kazimierz Kuratowski ja nap Kazimierz Kuratowski pms Kazimierz Kuratowski pl Kazimierz Kuratowski pt Kazimierz Kuratowski ro Kazimierz Kuratowski ru , scn Kazimierz Kuratowski sk Kazimierz Kuratowski sl Kazimierz Kuratowski uk ur Kazimierz Kuratowski vec Kazimierz Kuratowski zh ... Samuel Eilenberg br Andrzej Mostowski br Stanis aw Mr wka br Stanislaw Ulam known for awards Kazimierz Kuratowski February 2, 1896 June 18, 1980 was a Poland Polish mathematician and logician . He ... was reopened with Polish as the language of instruction. Kuratowski restarted his university education ... written by Zygmunt Janiszewski . Since Janiszewski was deceased, Kuratowski s supervisor was Wac aw ...   more details



  1. 26205 Kuratowski

    Notability Astro date February 2012 Infobox planet minorplanet yes width 25em bgcolour FFFFC0 apsis name Kuratowski symbol image caption discovery yes discovery ref discoverer P. G. Comba discovery site Prescott Observatory Prescott discovered June 11, 1997 designations yes mp name 26205 alt names 1997 LA5 named after Kazimierz Kuratowski mp category orbit ref epoch May 14, 2008 aphelion 2.9464059 perihelion 2.1777035 semimajor eccentricity 0.1500168 period 1497.8937741 avg speed inclination 15.75289 asc node 109.38202 mean anomaly 192.13674 arg peri 234.98394 satellites physical characteristics yes dimensions mass density surface grav escape velocity sidereal day axial tilt pole ecliptic lat pole ecliptic lon albedo temperatures temp name1 mean temp 1 max temp 1 temp name2 max temp 2 spectral type abs magnitude 15.3 26205 Kuratowski 1997 LA5 is a Asteroid belt main belt asteroid discovered on June 11, 1997 by P. G. Comba at Prescott Observatory Prescott , named after Polish mathematician Kazimierz Kuratowski . References Reflist External links http ssd.jpl.nasa.gov sbdb.cgi?sstr 26205 Kuratowski JPL Small Body Database Browser on 26205 Kuratowski Minor planets navigator 26204 1997 LO3 26206 1997 PJ4 Small Solar System bodies DEFAULTSORT Kuratowski Category Main Belt asteroids Category Asteroids named for people Category Astronomical objects discovered in 1997 beltasteroid stub eo 26205 Kuratowski fa it 26205 Kuratowski pl 26205 Kuratowski pt 26205 Kuratowski uk 26205 vi 26205 Kuratowski yo 26205 Kuratowski ...   more details



  1. Kuratowski convergence

    cite book last Kuratowski first Kazimierz authorlink Kazimierz Kuratowski title Topology. Volumes ...In mathematics , Kuratowski convergence is a notion of Limit of a sequence convergence for sequence mathematics sequences or, more generally, Net mathematics nets of compact space compact subsets of metric space s, named after the Poland Polish mathematician Kazimierz Kuratowski . Intuitively, the Kuratowski limit of a sequence of sets is where the sets limit point accumulate . Definitions Let X ,  d be a metric space . For any point x   &isin   X and any non empty compact subset A   &sube   X , let math d x, A inf d x, a a in A math . For any sequence of such subsets A sub n sub   &sube   X , n   &isin   N , the Kuratowski limit inferior or lower closed limit of A sub n sub as n   &rarr   &infin is math mathop mathrm Li n to infty A n left x in X left limsup n to infty d x, A n 0 right. right math math left x in X left begin matrix mbox for all open neighbourhoods U mbox of x, U cap A n neq emptyset mbox for large enough n end matrix right. right math the Kuratowski limit superior or upper closed limit of A sub n sub as n   &rarr   &infin is math mathop mathrm Ls n to infty A n left x in X left liminf n to infty d x, A n 0 right. right math math left x in X left begin matrix mbox for all open neighbourhoods U mbox of x, U cap A n neq emptyset mbox for infinitely many n end matrix right. right . math If the Kuratowski limits inferior and superior agree i.e. are the same subset of X , then their common value is called the Kuratowski limit of the sets A sub n sub as n   &rarr   &infin and denoted Lt sub n &rarr &infin sub A sub n sub . The definitions for a general net of compact subsets of X go through mutatis mutandis . Properties Although it may seem counter intuitive that the Kuratowski limit inferior involves ... A n big x in mathbf R big sin n x 0 big . math Then A sub n sub converges in the Kuratowski sense ...   more details



  1. Kuratowski embedding

    was first introduced by Kazimierz Kuratowski Kuratowski ref Kuratowski, C. Quelques probl mes concernant ...In mathematics , the Kuratowski embedding allows one to view any metric space as a subset of some Banach space . It is named after Kazimierz Kuratowski . Specifically, if X , d is a metric space, x sub 0 sub is a point in X , and C sub b sub X denotes the Banach space of all bounded continuous function continuous real valued functions on X with the uniform norm supremum norm , then the map math Phi X rarr C b X math defined by math Phi x y d x,y d x 0,y quad mbox for all quad x,y in X math is an isometry . ref citation title Geometric embeddings of metric spaces url http www.math.jyu.fi research reports rep90.ps author Juha Heinonen date January 2003 accessdate 6 January 2009 ref Note that this embedding depends on the chosen point x sub 0 sub and is therefore not entirely canonical. The Kuratowski Wojdys awski theorem states that every bounded metric space X is isometric to a closed set closed subset of a Convex set convex subset of some Banach space. ref citation author Karol Borsuk title Theory of retracts year 1967 place Warsaw . Theorem III.8.1 ref N.B. the image of this embedding is closed in the convex subset, not necessarily in the Banach space. Here we use the isometry math Psi X rarr C b X math defined by math Psi x y d x,y quad mbox for all quad x,y in X math The convex set mentioned above is the convex hull of X . In both of these embedding theorems, we may replace C sub b sub X by the Banach space sup   sup X of all bounded functions X R , again with the supremum norm, since C sub b sub X is a closed linear subspace of sup   sup X . These embedding results are useful because Banach spaces have a number of useful properties not shared by all metric ... space into an injective metric space defined similarly to the Kuratowski embedding References reflist DEFAULTSORT Kuratowski Embedding Category Functional analysis Category Metric geometry ru ...   more details



  1. Kazimierz

    About the name Kazimierz Casimir other uses File Krakow Wolnica 20070804 1034.jpg thumb right 250px Kazimierz Town Hall, 15th century Kazimierz IPA pl ka imj lang la Casimiria lang yi is a historical ... ish community from the 14th century until the Second World War . Early history The district of Kazimierz ... of the river Stara Wis a Old Vistula was filled in at the end of the 19th century, connecting Kazimierz ... a much smaller island upstream of Kazimierz known as the Tartar Island after the Tartar ... Kazimierz in Polish declared the two western settlements to be a new city named Casimiria later Kazimierz after him. Shortly thereafter, in 1340, Baw was also added, making the new city s boundaries ... the most important feature of medieval Kazimierz was the Pons Regalis , the only major, permanent bridge across the Vistula for several centuries. This bridge connected Krakow via Kazimierz to the Wieliczka ... bed made it obsolete. Jewish Kazimierz The redirect Jewish Kazimierz points to this section File Old ... Kazimierz III . By the reign of King Jogaila reigned in Poland 1386 1434 , however, relations had ... century anti Semitism led many Jews to move out of Krak w to nearby Kazimierz. ref name Carter ... of Poland expelled all Jews from Krak w, resettling them to the old Baw district of Kazimierz. For its own defence against Christian raids, the Shtadlan kahal petitioned the Kazimierz town council for the right ... , the Jewish City, which represented only about one fifth of the geographical area of Kazimierz ... physician Shmuel bar Meshulam. File Kazimierz Alte Schul 07799.jpg thumb left Interior of the Old Synagogue of Kazimierz before 1939. The golden age of the Oppidum came to an end in 1782, when the Austrian ... down, removing any physical reminder of the old borders between Jewish and Christian Kazimierz. In 1791, Kazimierz lost its status as a separate city and became a district of Krak w. The richer Jewish families quickly moved out of the overcrowded streets of eastern Kazimierz. Because of the injunction ...   more details



  1. Tarski?Kuratowski algorithm

    In computability theory and mathematical logic the Tarski Kuratowski algorithm is a non deterministic algorithm which provides an upper bound for the complexity of formulas in the arithmetical hierarchy and analytical hierarchy . The algorithm is named after Alfred Tarski and Kazimierz Kuratowski . Algorithm The Tarski Kuratowski algorithm for the arithmetical hierarchy Convert the formula to prenex normal form . If the formula is quantifier free, it is in math Sigma 0 0 math and math Pi 0 0 math . Otherwise, count the number of alternations of quantifiers call this k . If the first quantifier is Existential quantification , the formula is in math Sigma 0 k 1 math . If the first quantifier is Universal quantification , the formula is in math Pi 0 k 1 math . References Rogers, H. The Theory of Recursive Functions and Effective Computability , MIT Press. ISBN 0 262 68052 1 ISBN 0 07 053522 1 Category Mathematical logic hierarchies Tarski Kuratowski algorithm Category Computability theory Tarski Kuratowski algorithm Category Theory of computation Tarski Kuratowski algorithm mathlogic stub ...   more details



  1. Kuratowski's closure-complement problem

    In point set topology , Kuratowski s closure complement problem asks for the largest number of distinct sets obtainable by repeatedly applying the set operations of closure topology closure and complement set theory complement to a given starting subset of a topological space . The answer is 14. This result was first published by Kazimierz Kuratowski in 1922. ref Cite journal last Kuratowski first Kazimierz authorlink Kazimierz Kuratowski title Sur l operation A de l Analysis Situs url http www.docstoc.com docs 54437805 On the Topological Closure Operation journal Fundamenta Mathematicae volume 3 pages 182 199 publisher Polish Academy of Sciences location Warsaw year 1922 issn 0016 2736 ref The problem gained wide exposure three decades later as an exercise in John L. Kelley s classic textbook General Topology . ref Cite book last Kelley first John isbn 0 387 90125 6 authorlink John L. Kelley title General Topology publisher Van Nostrand year 1955 page 57 ref Proof Letting S denote an arbitrary subset of a topological space, write kS for the closure of S , iS for the interior topology interior of S , and cS for the complement of S . The following three identities imply that no more than 14 distinct sets are obtainable 1 kkS kS 2 ccS S 3 kckckckS kckS . The first two are trivial. The third follows from the identities kikiS kiS and iS ckcS . A subset realizing the maximum of 14 is called a 14 set . The space of real numbers under the usual topology contains 14 sets. Here is one ... Despite its origin within the context of a topological space, Kuratowski s closure complement problem .... ref Cite journal last Hammer first P. C. title Kuratowski s Closure Theorem journal Nieuw Archief ... 9825 ref References Reflist External links http nzjm.math.auckland.ac.nz images 6 63 The Kuratowski Closure Complement Theorem.pdf The Kuratowski Closure Complement Theorem by B. J. Gardner and Marcel Jackson http mathdl.maa.org mathDL 60 ?pa content&sa viewDocument&nodeId 3343&pf 1 The Kuratowski ...   more details



  1. Knaster?Kuratowski?Mazurkiewicz lemma

    The Knaster Kuratowski Mazurkiewicz lemma is a basic result in mathematical fixed point theorem fixed point theory published in 1929 by Bronis aw Knaster Knaster , Kazimierz Kuratowski Kuratowski and Stefan Mazurkiewicz Mazurkiewicz in blockquote B. Knaster, C. Kuratowski, and S. Mazurkiewicz, Ein Beweis des Fixpunktsatzes f r n dimensionale Simplexe, Fund. Math. 14 1929 132 137. blockquote The KKM lemma can be proved from Sperner s lemma and can be used to prove the Brouwer fixed point theorem . Statement of the lemma KKM Lemma. Suppose that a simplex math Delta m math is covered by the closed set s math C i math for math i in I 1, dots,m math and that for all math I k subset I math the face of S that is spanned by math e i math for math i in I k math is covered by math C i math for math i in I k math then all the math C i math have a common intersection point. Example The two dimensional case may serve as an illustration. In this case the simplex math Delta 3 math is a triangle, whose vertexes we can label 1, 2 and 3. We are given three closed sets math C 1,C 2,C 3 math which collectively cover the triangle also we are told that math C 1 math covers vertex 1, math C 2 math covers vertex 2, math C 3 math covers vertex 3, and that the edge 12 from vertex 1 to vertex 2 is covered by the sets math C 1 math and math C 2 math , the edge 23 is covered by the sets math C 2 math and math C 3 math , the edge 31 is covered by the sets math C 3 math and math C 1 math . The KKM lemma states that the sets math C 1, C 2, C 3 math have at least one point in common. References See the proof of KKM Lemma in http planetmath.org encyclopedia KKMLemma.html Planet Math . Category Fixed points mathematics Category Lemmas fr Lemme de Knaster Kuratowski Mazurkiewicz he ...   more details



  1. Kuratowski's free set theorem

    Kuratowski s free set theorem , named after Kazimierz Kuratowski , is a result of set theory , an area of mathematics . It is a result which has been largely forgotten for almost 50 years, but has been applied recently in solving several lattice theory problems, such as the Congruence Lattice Problem . Denote by math X omega math the Set mathematics set of all Finite set finite subsets of a set math X math . Likewise, for a positive integer math n math , denote by math X n math the set of all math n math elements subsets of math X math . For a Map mathematics mapping math Phi colon X n to X omega math , we say that a subset math U math of math X math is free with respect to math Phi math , if math u notin Phi V math , for any math n math element subset math V math of math U math and any math u in U setminus V math . Kuratowski published in 1951 the following result, which characterizes the infinite Cardinal number cardinals of the form math aleph n math . The theorem states the following. Let math n math be a positive integer and let math X math be a set. Then the cardinality of math X math is greater than or equal to math aleph n math if and only if for every mapping math Phi math from math X n math to math X omega math , there exists an math n 1 math element free subset of math X math with respect to math Phi math . For math n 1 math , Kuratowski s free set theorem is superseded by Hajnal s set mapping theorem . References Paul Erd s P. Erd s , Andr s Hajnal A. Hajnal , A. M t , Richard Rado R. Rado Combinatorial Set Theory Partition Relations for Cardinals , North Holland, 1984, pp. 282 285. Kazimierz Kuratowski C. Kuratowski , Sur une caracté risation des alephs , Fund. Math. 38 1951 , 14 17. John C. Simms Sierpi ski s theorem, Simon Stevin , 65 1991 69 163. settheory stub Category Set theory ...   more details



  1. Kuratowski closure axioms

    In topology and related branches of mathematics , the Kuratowski closure axioms are a set of axiom s which can be used to define a topological structure on a Set mathematics set . They are equivalent to the more commonly used open set definition. They were first introduced by Kazimierz Kuratowski , in a slightly different form that applied only to Hausdorff space s. A similar set of axioms can be used to define a topological structure using only the dual notion of interior operator . Definition A topological space math X, operatorname cl math is a set math X math with a function math operatorname cl mathcal P X to mathcal P X math called the closure operator where math mathcal P X math is the power set of math X math . The closure operator has to satisfy the following properties for all math A, B in mathcal P X math math A subseteq operatorname cl A math Extensivity math operatorname cl operatorname cl A operatorname cl A math Idempotent function Idempotence math operatorname cl A cup B operatorname cl A cup operatorname cl B math Preservation of binary unions math operatorname cl varnothing varnothing math Preservation of nullary unions If the second axiom, that of idempotence, is relaxed, then the axioms define a preclosure operator . Notes By mathematical induction induction , Axioms 3 and 4 are equivalent to the single statement math operatorname cl A 1 cup cdots cup A n operatorname cl A 1 cup cdots cup operatorname cl A n , n geq 0 math Preservation of finitary unions . Recovering topological definitions A function between two topological spaces math f X, operatorname cl to X , operatorname cl math is called continuous function continuous if for all subsets math A math of math X math math f operatorname cl A subset operatorname cl f A math A point math p math is called closeness topology close to math A math in math X, operatorname cl math if math p in operatorname cl A math math A math is called closed set closed in math X, operatorname cl math if math A operatorname ...   more details



  1. Kazimierz Zarankiewicz

    Kazimierz Zarankiewicz 2 May 1902 5 September 1959 was a Poland Polish mathematician. He was born in Cz stochowa and died in London , England . His main interest was topology . He studied at the University of Warsaw , together with Zygmunt Janiszewski , Stefan Mazurkiewicz , Wac aw Sierpi ski , Kazimierz Kuratowski , and Stanis aw Saks . He wrote works on cut point s in connected space s, on conformal mapping s, on complex analysis complex functions and number theory , and triangular number s. During World War II , Zarankiewicz took part in illegal teaching, forbidden by the Germany German authorities, and eventually was sent to a concentration camp . He successfully survived and became a teacher at Warsaw University of Technology . He visited universities in Tomsk , Harvard , London , Vienna . He served as president of the Warsaw section of the Polish Mathematical Society and the International Astronautical Federation . The Zarankiewicz problem is named after Zarankiewicz this problem asks, for a given size of 0,1 matrix , how many matrix entries must be set equal to 1 in order to ensure that some a × b submatrix is made up only of 1 s. Also the Zarankiewicz Crossing Number Conjecture in the mathematical field of graph theory is named after Zarankiewicz. The conjecture states that the crossing number graph theory crossing number of a complete bipartite graph math K m,n math equals math cr K m,n lfloor n 2 rfloor lfloor n 1 2 rfloor lfloor m 2 rfloor lfloor m 1 2 rfloor. math Zarankiewicz proved that this formula is an upper bound for the actual crossing number. The problem ... dmy dates date September 2010 Persondata Metadata see Wikipedia Persondata . NAME Zarankiewicz, Kazimierz ... DATE OF DEATH 5 September 1959 PLACE OF DEATH DEFAULTSORT Zarankiewicz, Kazimierz Category 20th ... Category People from Cz stochowa Category 1902 births Category 1959 deaths de Kazimierz Zarankiewicz pl Kazimierz Zarankiewicz ...   more details



  1. Kazimierz Sosnowski

    Kazimierz Sosnowski can refer to Kazimierz Sosnowski 1875 1954 , Polish tourism activist and writer Kazimierz Sosnowski 1885 1969 , Polish General officer general disambig pl Kazimierz Sosnowski ...   more details



  1. Knaster?Kuratowski fan

    In topology , a branch of mathematics, the Knaster Kuratowski fan also known as Cantor s leaky tent or Cantor s teepee depending on the presence or absence of the apex geometry apex is a connected space connected topological space with the property that the removal of a single point makes it totally disconnected . Let math C math be the Cantor set , let math p math be the point math tfrac 1 2 , tfrac 1 2 in mathbb R 2 math , and let math L c math , for math c in C math , denote the line segment connecting math c,0 math to math p math . If math c in C math is an endpoint of an interval deleted in the Cantor set, let math X c x,y in L c y in mathbb Q math for all other points in math C math let math X c x,y in L c y notin mathbb Q math the Knaster Kuratowski fan is defined as math bigcup c in C X c math . The fan itself is connected, but becomes totally disconnected upon the removal of math p math . References Citation last1 Steen first1 Lynn Arthur author1 link Lynn Arthur Steen last2 Seebach first2 J. Arthur Jr. author2 link J. Arthur Seebach, Jr. title Counterexamples in Topology origyear 1978 publisher Springer Verlag location Berlin, New York edition Dover Publications Dover reprint of 1978 isbn 978 0 486 68735 3 id MathSciNet id 507446 year 1995 Category Topological spaces topology stub pl Miote ka Knastera Kuratowskiego ru ...   more details



  1. Kazimierz Gzowski

    Kazimierz Gzowski may refer to Casimir Gzowski 1813 1898 , engineer and acting Lieutenant Governor of Ontario, 1896 1897 Kazimierz Gzowski equestrian 1901 1986 , Polish Olympic horse rider hndis Gzowski, Kazimierz pl Kazimierz Gzowski ...   more details



  1. Kazimierz Sapieha

    Kazimierz Sapieha can refer to Jan Kazimierz Sapieha the Younger , ca. 1637 1642 1720 , since 1700 held the title of a Duke. Since 1681 Field Hetman of Lithuania, Voivode voivod of Vilnius Voivodeship Vilnius since 1682, and Grand Hetman of Lithuania since 1682 . Jan Kazimierz Sapieha the Elder 17th century 1730 , Grand Hetman of Lithuania Kazimierz Nestor Sapieha Kazimierz W adys aw Sapieha Tomasz Kazimierz Sapieha Aleksander Kazimierz Sapieha Antoni Kazimierz Sapieha Kazimierz Miko aj Sapieha Kazimierz Melchiades Sapieha Disambig pl Kazimierz Sapieha ...   more details



  1. Kazimierz Woyda

    Unreferenced date March 2009 Kazimierz Woyda was the President of Warsaw . Presidents of Warsaw Category Presidents of Warsaw Poland mayor stub pl Kazimierz Woyda ...   more details



  1. Kazimierz Imieli?ski

    Orphan date April 2012 Expand Polish Kazimierz Imieli ski date April 2012 Kazimierz Imieli ski 1929 2010 was a Poland Polish physician and psychologist. Persondata Metadata see Wikipedia Persondata . NAME Imieli ski, Kazimierz ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1929 PLACE OF BIRTH DATE OF DEATH 2010 PLACE OF DEATH DEFAULTSORT Imieli ski, Kazimierz Category 1929 births Category 2010 deaths Category Polish physicians Category Polish psychologists Poland bio stub de Kazimierz Imieli ski eo Kazimierz Imieli ski nl Kazimierz Imieli ski pl Kazimierz Imieli ski ru , ...   more details



  1. Kazimierz Abramowicz

    Unreferenced date February 2008 Notability date May 2010 Kazimierz Abramowicz 1889&ndash 1936 was a Poland Polish mathematician and renowned professor at the University of Poznan . Persondata NAME Abramowicz, Kazimierz ALTERNATIVE NAMES SHORT DESCRIPTION Mathematician DATE OF BIRTH 1889 PLACE OF BIRTH DATE OF DEATH 1936 PLACE OF DEATH DEFAULTSORT Abramowicz, Kazimierz Category Polish mathematicians Category 1889 births Category 1936 deaths Poland mathematician stub pl Kazimierz Abramowicz pt Kazimierz Abramowicz ...   more details



  1. Kazimierz Moskal

    Kazimierz Moskal may refer to Kazimierz Moskal footballer born 1967 , Polish footballer Kazimierz Moskal politician born 1962 , Polish politician hndis Moskal, Kazimierz pl Kazimierz Moskal Short pages monitor This long comment was added to the page to prevent it from being listed on Special Shortpages. It and the accompanying monitoring template were generated via Template Long comment. Please do not remove the monitor template without removing the comment as well. ...   more details



  1. Kazimierz Kaszewski

    Orphan date April 2012 Expand Polish Kazimierz Kaszewski date April 2012 Kazimierz Kaszewski 1825 1910 was a Poland Polish educator. Persondata Metadata see Wikipedia Persondata . NAME Kaszewski, Kazimierz ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1825 PLACE OF BIRTH DATE OF DEATH 1910 PLACE OF DEATH DEFAULTSORT Kaszewski, Kazimierz Category 1825 births Category 1910 deaths Category Polish educators Poland bio stub pl Kazimierz Kaszewski ru , ...   more details



  1. Kazimierz Kordylewski

    Unsourced image removed Image Kazimierz Kordylewski1.jpg thumb 250px right Kazimierz Kordylewski, on the peak of the Kasprowy Wierch mountain. Unsourced image removed Image Kazimierz Kordylewski.jpg thumb 250px right Kazimierz Kordylewski, observatory in Krak w . Kazimierz Kordylewski b. 11 October 1903 in Posen 11 March 1981 in Krak w , Poland was a Poland Polish astronomer . File Kazimierz Kordylewski 1964.jpg thumb Kazimierz Kordylewski, April 1964. In 1956 he claimed the discovery of the Kordylewski cloud s which are believed to be large transient concentrations of dust at the Trojan points of the Earth Moon system. The existence of the clouds is still contested. External links http 149.156.117.53 A page about Kazimierz Kordylewski http www.kordylewski.pl http www.kordylewski.pl Persondata Metadata see Wikipedia Persondata . NAME Kordylewski, Kazimierz ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 11 October 1903 PLACE OF BIRTH DATE OF DEATH 11 March 1981 PLACE OF DEATH DEFAULTSORT Kordylewski, Kazimierz Category 1903 births Category 1981 deaths Category Polish astronomers Euro astronomer stub Poland scientist stub de Kazimierz Kordylewski fr Kazimierz Kordylewski pl Kazimierz Kordylewski ...   more details



  1. Kazimierz ?ygulski

    Wikify date April 2012 Expand Polish Kazimierz ygulski date April 2012 Kazimierz ygulski 1919 23 February 2012 was a Poland Polish sociologist. ref cite web url http wiadomosci.wp.pl kat,1016539,title,Zmarl prof Kazimierz Zygulski b minister kultury,wid,14279743,wiadomosc.html?ticaid 1e59f title Zmar prof. Kazimierz ygulski, b. minister kultury Wiadomo ci WP.PL publisher Wiadomosci.wp.pl date accessdate 2012 04 28 ref References reflist Persondata Metadata see Wikipedia Persondata . NAME ygulski, Kazimierz ALTERNATIVE NAMES SHORT DESCRIPTION Polish sociologist and politician DATE OF BIRTH 1919 PLACE OF BIRTH DATE OF DEATH 23 February 2012 PLACE OF DEATH DEFAULTSORT ygulski, Kazimierz Category 1919 births Category 2012 deaths Category Democratic Party Poland politicians Category Gulag detainees Category Polish sociologists Category University of Lviv alumni Poland bio stub de Kazimierz ygulski pl Kazimierz ygulski ...   more details



  1. Kazimierz Nowak

    Image Kazimierz Nowak face.jpg thumb Kazimierz Nowak Kazimierz Nowak January 11, 1897 October 13, 1937 was a Polish traveller, correspondent and photographer, born in Stryi . After the World War I First World War he lived in Pozna . From 1931 to 1936, he traveled alone, on foot and by bicycle across Africa , covering a distance of 40,000  km from Libya to South Africa Cape Agulhas and back to Algeria http www.tutej.pl pliki cms 1754 mapa70.jpg . He seems to be the only man in the world to have done it. His accounts of the travel were first published jointly as late as in 2000, as a book entitled ... surgery. Commemorative plaque in Pozna File Kazimierz Nowak in jungle 2.jpg thumb Kazimierz Nowak on his trip. On the 25th of November 2006 in the Hall of Pozna Main Railway Station, where Kazimierz ... Nowak as follows Through his accomplishment, Kazimierz Nowak deserves a place in dictionaries and encyclopedias ... World and its inhabitants. Only those who know the regions through which Kazimierz Nowak travelled and the way ... did not boast, he simply described what he saw. . ref name Kummer2003 cite book last Nowak first Kazimierz ... category Kazimierz Nowak Ryszard Kapu ci ski External links http www.kazimierznowak.pl Official ... to Kazimierz Nowak was unveiled in Pozna in November 2006 by Ryszard Kapu ci ski Polish TVP3 footage Notes Reflist Persondata Metadata see Wikipedia Persondata . NAME Nowak, Kazimierz ALTERNATIVE ... PLACE OF DEATH DEFAULTSORT Nowak, Kazimierz Category 1897 births Category Reporters and correspondents ... deaths Poland photographer stub bs Kazimierz Nowak cs Kazimierz Nowak da Kazimierz Nowak de Kazimierz Nowak es Kazimierz Nowak eo Kazimierz Nowak fa fr Kazimierz Nowak fy Kazimierz Nowak ko it Kazimierz Nowak hu Kazimierz Nowak mk nl Kazimierz Nowak pl Kazimierz Nowak pt Kazimierz Nowak ro Kazimierz Nowak ru , sr Kazimje Novak sh Kazimierz Nowak tr Kazimierz Nowak uk yo Kazimierz Nowak zh ...   more details



  1. Kazimierz Go?ojuch

    Infobox politician name Kazimierz Go ojuch nationality Polish image Kazimierz Go ojuch.jpg imagesize frameless alt office List of Sejm members 2005 2007 member of Sejm 2005 2007 term start September 25, 2005 term end ? party Law and Justice birth date Bda 1964 2 5 birth place death date death place Kazimierz Go ojuch born February 5, 1964 in a cut is a Poland Polish politician. He was elected to Sejm on September 25, 2005 getting 8245 votes in 23 Rzesz w district, candidating from the Law and Justice list. See also List of Sejm members 2005 2007 Members of Polish Sejm 2005 2007 External links http www.sejm.gov.pl poslowie posel5 089.htm Kazimierz Go ojuch parliamentary page includes declarations of interest, voting record, and transcripts of speeches. http www.kazimierzgolojuch.pl Kazimierz Go ojuch office page includes activities, biography, foto gallery. Persondata Metadata see Wikipedia Persondata . NAME Golojuch, Kazimierz ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH February 5, 1964 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Golojuch, Kazimierz Category 1964 births Category Living people Category People from a cut Category Law and Justice politicians Category Members of the Sejm of the Republic of Poland 2005 2007 PrawoiSprawiedliwo politician stub de Kazimierz Go ojuch pl Kazimierz Go ojuch pt Kazimierz Go ojuch ...   more details



  1. Kazimierz (disambiguation)

    Kazimierz or Casimir may refer to In people Casimir , English form of Polish Kazimierz, a given name including a list of people with the name In places Kazimierz , a district of Krak w, Poland. Kazimierz Dolny , in Pu awy County, Lublin Voivodeship eastern Poland Kazimierz Landscape Park , a protected area around Kazimierz Dolny Kazimierz Biskupi , in Konin County, Greater Poland Voivodeship west central Poland Kazimierz, Pabianice County in d Voivodeship central Poland Kazimierz, Gmina Skomlin , in Wielu County, d Voivodeship central Poland Kazimierz, Opole Voivodeship south west Poland Kazimierz, Pomeranian Voivodeship north Poland Kazimierz, West Pomeranian Voivodeship north west Poland Kazim r , Trebi ov District, Ko ice Region, Slovakia Other Casimir effect , an attraction between parallel plates best explained by quantum mechanics Casimir invariant , of a Lie algebra Casimir dinosaur , from the French TV show l le aux enfants Casimir, Ontario a community in the Canadian province of Ontario Casimir, Wisconsin , United States, an unincorporated community St. Casimir Lithuanian Roman Catholic Church , in Sioux City, Iowa Casimir film Casimir film , French, With Fernandel , 1950 film Fort Casimir , 17th century fort in New Netherland Kazimierzowski Palace , a building in Warsaw, Poland See also Casimir lookfrom Kazimierz disambig bg fr Casimir he nl Casimir ja pl Kazimierz pt Casimiro ru ...   more details




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