21. Borsuk Portraits Portraits of karol borsuk karol borsuk. JOC/EFR August 2001 http://www-history.mcs.st-and.ac.uk/history/PictDisplay/Borsuk.html

Karol Borsuk JOC/EFR August 2001 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Borsuk.html

22. MIMUW - Karol Sieklucki 34, pp.173-176. Sieklucki, karol borsuk, karol Collected papers. Part I, II. Sieklucki,karol The scientific activity of Professor karol borsuk, Wiadom. Mat. http://www.mimuw.edu.pl/english/research/imat-publications/siekluck.html

PESEL: Has³o: OG£OSZENIA Wydarzenia European Joint Conferences on Theory and... Zwyciêstwo studentów WMIM ... Szukam graczy RPG SONDA Jaki profil portalu podoba Ci siê najbardziej? Asceza S³oneczna jesieñ Smutny b³êkit (w likwidacji) ¦wie¿a rze¿ucha Oddano 46 g³osów. Wydzia³ Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego Only in Institute of Mathematics faculty members publications ETAPS 2003 Dla kandydatów na studia Jak trafiæ? Zajêcia ... Institute of Mathematics faculty members publications Karol Sieklucki List of Publications Engelking, R.; Sieklucki, Karol Topology: a geometric approach, Sigma Series in Pure Mathematics . Heldermann Verlag, Berlin, 1992. x+429 pp. Engelking, R.; Sieklucki, Karol Wstêp do topologii, Biblioteka Matematyczna . PWN, Warsaw, 1986. 459 pp. Sieklucki, Karol; Sobolewski, M. On a generalization of a theorem of Lokucievski, Bull. Polish Acad. Sci. Math. (1985), no. 11-12, pp.637-643. Sieklucki, Karol Generalized cones and the fixed point property, Bull. Polish Acad. Sci. Math. (1985), no. 3-4, pp.173-176.

23. Topologia Algebraiczna James Waddell Alexander (USA, 1336), Salomon Lefschetz (USA, 20-33), Heinz Hopf(D-CH, 26-45), karol borsuk (PL, 31-37), Lew Pontrjagin (RUS, 31-50), Eduard http://www.mimuw.edu.pl/~sjack/semgr03.htm

Topologia Algebraiczna Seminarium magisterskie na Wydziale MIM UW Miejsce i czas Prowadzacy i uczestnicy ... Archiwum Miejsce i czas Miejsce: Wydzia³ MIM UW, ul.Banacha 2 (wejscie od ul. Pasteura) , sala 3210 Czas: Œrody 16:15-18:00 w okresie odbywania sie zajec dydaktycznych Prowadzacy i uczestnicy Prowadz¹cy: Agnieszka Bojanowska e-mail: aboj@mimuw.edu.pl , tel. 5544580 Konsultacje: wtorek 16:00-18:00 p. 5280 Stefan Jackowski e-mail: sjack@mimuw.edu.pl tel. 5544214 Konsultacje: p. 2140, po umowieniu e-poczta lub telefonicznie. Uczestnicy (rok akad. 2002/03): Konrad Bojar (V, mgr) Praca mgr: Orientacje wiazek wektorowych w K-teoriach. Rados³aw Bojanowski (V, mgr, dr A. Langer) Jaros³aw Buczyñski (V, mgr, prof. J.Wiœniewski) Pawe³ Witkowski (V, mgr) Praca mgr: Ekwiwariantny charakter Cherna Olga Weber (V, mgr) Praca mgr: Przestrzeñ konfiguracji punktów na okrêgu Piotr Nowak (V) £ukasz Gleñ (V, mgr) Marcin Hauzer (IV, mgr) Eryk Kopczyñski (IV) Wojciech Kryñski (IV, mgr) Karol Palka (IV, mgr) Uwaga: W nawiasach podano rok studiow, czy SMTA jest seminarium magisterskim tego studenta (mgr) a jesli tak, nazwiska opiekunow naukowych, o ile nie sa nimi prowadzacy SMTA. O topologii algebraicznej medalu Fieldsa James Waddell Alexander (USA, 13-36)

24. A Borsuk Theorem On Homotopy Types Bibliography. 1 karol borsuk. Sci., (18)235239, 1970. 2 karol borsuk. \emTheory of Shape, volume 59 of \em Monografie Matematyczne. PWN, Warsaw, 1975. http://mizar.uwb.edu.pl/JFM/Vol3/borsuk_1.html

Journal of Formalized Mathematics Volume 3, 1991 University of Bialystok Association of Mizar Users A Borsuk Theorem on Homotopy Types Andrzej Trybulec Warsaw University, Bialystok Summary. We present a Borsuk's theorem published first in [ ] (compare also [ 2, pages 119-120 ]). It is slightly generalized, the assumption of the metrizability is omitted. We introduce concepts needed for the formulation and the proofs of the theorems on upper semi-continuous decompositions, retracts, strong deformation retract. However, only those facts that are necessary in the proof have been proved. MML Identifier: The terminology and notation used in this paper have been introduced in the following articles [ Contents (PDF format) Preliminaries Partitions Topological Preliminaries Cartesian Product of Topological Spaces Partitions of Topological Spaces Upper Semicontinuous Decompositions Borsuk's Theorems on the Decomposition of Retracts Bibliography 3] Leszek Borys. Paracompact and metrizable spaces Journal of Formalized Mathematics 4] Czeslaw Bylinski. Basic functions and operations on functions Journal of Formalized Mathematics 5] Czeslaw Bylinski.

25. Antiquariat Renner - Searchengine / Suchmaschine borsuk, karol (11250), Theory of Shape. Warszawa 1975. 379 p. OCloth. 38,. Euro.borsuk, karol (11772), Multidimensional Analytic Geometry. Warszawa, PWN 1969. http://www.antiquar-renner.com/search.mv? showcat TY

26. Warszaw University University, Warszaw, Poland. Apt, Krzysztof (1974); borsuk, karol (1931);Ehrenfeucht, Andrzej (unknown year); Eilenberg, Samuel (1936); http://sigact.acm.org/genealogy/index-Warsaw.html

Warszaw University This is the index for the TCS Genealogy for doctoral degrees from Warszaw University, Warszaw, Poland Apt, Krzysztof Borsuk, Karol Ehrenfeucht, Andrzej ... Walukiewicz, Igor

27. Collected Works In Mathematics And Statistics SMU. Émile Borel, karol borsuk, Richard Brauer, LEJ Brouwer. Killam.borsuk, karol, 19051982, Collected papers, 2, QA 3 B58425 1983, Killam. http://www.mathstat.dal.ca/~dilcher/collwks.html

Collected Works in Mathematics and Statistics This is a list of Mathematics and Statistics collected works that can be found at Dalhousie University and at other Halifax universities. The vast majority of these works are located in the Killam Library on the Dalhousie campus. A guide to other locations is given at the end of this list. If a title is owned by both Dalhousie and another university, only the Dalhousie site is listed. For all locations, and for full bibliographic details, see the NOVANET library catalogue This list was compiled, and the collection is being enlarged, with the invaluable help of the Bibliography of Collected Works maintained by the Cornell University Mathematics Library. The thumbnail sketches of mathematicians were taken from the MacTutor History of Mathematics Archive at the University of St. Andrews. For correction, comments, or questions, write to Karl Dilcher ( dilcher@mscs.dal.ca You can scroll through this list, or jump to the beginning of the letter: A B C D ... X-Y-Z A [On to B] [Back to Top] N.H. Abel

28. Records For Geometry -- Foundations. (in VSCCAT) borsuk, karol. Podstawy geometrii. English Foundations of geometry Euclideanand BolyaiLobachevskian geometry. By karol borsuk and Wanda Szmielew. Rev. http://scolar.vsc.edu:8005/VSCCAT/@GEOMETRY FOUNDATIONS/72ca20000100/0

Geometry Foundations. Records 1 to 13 of 13 Adler, Claire Fisher, 1895- Modern geometry; an integrated first course. New York: McGraw-Hill, [1967] Holdings: Lyndon State College CALL NUMBER: 513.5 Ad59m 1967 c1 Book Available Holdings at other locations: See the additional holdings for this title. Borsuk, Karol. Podstawy geometrii. English Foundations of geometry: Euclidean and Bolyai-Lobachevskian geometry. Projective geometry. By Karol Borsuk and Wanda Szmielew. Rev. English translation. [Translated from Polish by Erwin Marquit]. Amsterdam, North-Holland Pub. Co.; New York, Interscience Publishers, 1960. ... Lyndon State College CALL NUMBER: 516 B648f c1 Book CheckedOut Fishback, W. T. (William Thompson) Projective and Euclidean geometry. New York, Wiley [1964, c1962] Holdings at other locations: See the additional holdings for this title. Fishback, W. T. (William Thompson) Projective and Euclidean geometry [by] W. T. Fishback. New York, Wiley [1969] Holdings at other locations: See the additional holdings for this title. Frege, Gottlob, 1848-1925.

29. Foundations Of Geometry (in VSCCAT) Title Foundations of geometry Euclidean and BolyaiLobachevskian geometry. Projectivegeometry. By karol borsuk and Wanda Szmielew. Rev. English translation. http://scolar.vsc.edu:8005/VSCCAT/AAJ-8128

Foundations of geometry Title: Foundations of geometry: Euclidean and Bolyai-Lobachevskian geometry. Projective geometry. By Karol Borsuk and Wanda Szmielew. Rev. English translation. [Translated from Polish by Erwin Marquit]. Uniform title: Podstawy geometrii. English Author: Borsuk, Karol. Szmielew, Wanda. Published: Amsterdam, North-Holland Pub. Co.; New York, Interscience Publishers, 1960. Subject: Geometry Foundations. Material: 444 p. illus. 23 cm. LC Card no: 60050496 /L/r84 Other ID no: System ID no: AAJ-8128 Holdings: Lyndon State College CALL NUMBER: 516 B648f c1 Book CheckedOut Click on one the above headings to search automatically for that entry in the catalog Use your web "Back" key/command for previous screen Back up to VSC Library Catalog Search Options

30. TMNA - Volume 1 Number 1 TABLE OF CONTENTS, Title and Author(s), Page. karol borsuk Personal ReminiscencesS. Eilenberg, 1. Reminiscences of karol borsuk A. Granas and J. Jaworowski, 3. http://www.mat.uni.torun.pl/~tmna/htmls/archives/vol-1-1.html

T OPOLOGICAL M ETHODS IN N ONLINEAR A NALYSIS Vol. 1, No. 1 March 1993 TABLE OF CONTENTS Title and Author(s) Page Karol Borsuk Personal Reminiscences S. Eilenberg Reminiscences of Karol Borsuk A. Granas and J. Jaworowski On Some Contributions of Karol Borsuk to Homotopy Theory P. Hilton Spheres and Symmetry: Borsuk's Antipodal Theorem H. Steinlein Borsuk's Influence on Infinite-Dimensional Topology J. West Borsuk's Shape Theory J. Segal Subharmonic Solutions for Second Order Differential Equations A. Fonda, M. Ramos and M. Willem Global Bifurcation of Periodic Solutions K. Geba and W. Marzantowicz Existence Principles for Caratheodory Differential Equations in Banach Spaces M. Frigon and J. W. Lee Periodic Solutions of Some Semilinear Wave Equations on Balls and on Spheres A. K. Ben-Naoum and J. Mawhin Generic Domain Dependence for Non-smooth Equations and the Open Set Problem for Jumping Nonlinearities E. N. Dancer Deformation Properties for Continuous Functionals and Critical Point Theory J.-N. Corvellec, M. Degiovanni and M. Marzocchi Examples Related to Ulam's Fixed Point Problem K. M. Kuperberg, W. Kuperberg, P. Minc and C. S. Reed

31. List Of Mathematical Topics - Wikipedia Enrico Boole, George Boolean algebra Boolean ring Borcherds, RichardEwen Borel algebra BorelCantelli Lemma borsuk, karol borsuk-Ulam http://www.wikipedia.org/wiki/List_of_mathematical_topics

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help List of mathematical topics From Wikipedia, the free encyclopedia. This page aims to list all Wikipedia articles that are related to Mathematics . This is so that those interested in the subject can monitor changes to the pages by clicking on Related Changes in the sidebar. Everything remotely connected to mathematics, including articles about mathematicians, should be listed here. For a much nicer list of mathematicians, see list of mathematicians The list is not necessary complete or up to date - if you see an article that should be here but isn't (or one that shouldn't be here but is), please do update the page accordingly. A WikiProject is being developed at Wikipedia:WikiProject Mathematics regarding issues of form, structure and notation for mathematics articles. Check it out!

32. Table Of Contents Translate this page komplexen Variablen. 130. . ARTICLE, borsuk, karol Über das Phänomender Unzerlegbarkeit in der Polyedertopologie. 142. . ARTICLE, http://134.76.163.65/agora_docs/169845TABLE_OF_CONTENTS.html

Commentarii Mathematici Helvetici Bibliographic description for this electronic document This is volume 8 of Commentarii mathematici Helvetici TITLE PAGE TABLE OF CONTENTS ARTICLE Bodewig, E. Über das Euler'sche Verfahren zur Auflösung numerischer Gleichungen. ... Browsing list

33. 54: General Topology From Dave Rusin's "Known Math" collection.Category Science Math Topology General Topology...... Math. Monthly 49, (1942). 281286. MR3,318d; borsuk, karol; Dydak, Jerzy Whatis the theory of shape? , Bull. Austral. Math. Soc. 22 (1980), no. 2, 161198. http://www.math.niu.edu/~rusin/known-math/index/54-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 54: General topology Introduction More formally, a topological space is a set X on which we have a topology a collection of subsets of X which we call the "open" subsets of X. The only requirements are that both X itself and the empty subset must be among the open sets, that all unions of open sets are open, and that the intersection of two open sets be open. This definition is arranged to meet the intent of the opening paragraph. However, stated in this generality, topological spaces can be quite bizarre; for example, in most other disciplines of mathematics, the only topologies on finite sets are the discrete topologies (all subsets are open), but the definition permits many others. Thus a general theme in topology is to test the extent to which the axioms force the kind of structure one expects to use and then, as appropriate, introduce other axioms so as to better match the intended application. For example, a single point need not be a closed set in a topology. Does this seem "inappropriate"? Then perhaps you are envisioning a special kind of topological space, say a a metric space. This alone still need not imply the space looks enough like the shapes you may have seen in a textbook; if you really prefer to understand those shapes, you need to add the axioms of a manifold, perhaps. Many such levels of generality are possible.

34. Www.math.niu.edu/~rusin/known-math/99/photos Born, MAx Born, Max Borodin, Allan Boroson, Don M. Borrmann, Lothar Bors, AdrianG. borsuk, karol Bortkiewicz, Ladislaus von Bortoff, Scott A. Boruvka, Otakar http://www.math.niu.edu/~rusin/known-math/99/photos

35. Non-Euclidean Geometry borsuk, karol. Foundations of Geometry Euclidean and BolyaiLobachevskian Geometry.Projective Geometry. Amsterdam, Netherlands North-Holland, 1960. 444 p. http://www.ericweisstein.com/encyclopedias/books/Non-EuclideanGeometry.html

Non-Euclidean Geometry see also Non-Euclidean Geometry Anderson, James W. Hyperbolic Geometry. New York: Springer-Verlag, 1999. 230 p. $?. Bonola, Roberto. Non-Euclidean Geometry, and The Theory of Parallels by Nikolas Lobachevski, with a Supplement Containing The Science of Absolute Space by John Bolyai. New York: Dover, 1955. 268 p., 50 p., and 71 p. Borsuk, Karol. Foundations of Geometry: Euclidean and Bolyai-Lobachevskian Geometry. Projective Geometry. Amsterdam, Netherlands: North-Holland, 1960. 444 p. Carslaw, H.S. The Elements of Non-Euclidean Plane Geometry and Trigonometry. London: Longmans, 1916. Coxeter, Harold Scott Macdonald. Non-Euclidean Geometry, 6th ed. Washington, DC: Math. Assoc. Amer., 1988. 320 p. $30.95. Greenberg, Marvin J. Euclidean and Non-Euclidean Geometries: Development and History, 3rd ed. San Francisco, CA: W.H. Freeman, 1994. $?. Iversen, Birger. Hyperbolic Geometry. Cambridge, England: Cambridge University Press, 1992. 298 p. $?. Manning, Henry Parker. Introductory Non-Euclidean Geometry.

36. Citations: Drei Satze Uber Die N-dimensionale Euklidische Sphare - Borsuk (Resea karol borsuk. Drei Satze uber die ndimensionale euklidische Sphare. Fund. Math.,20177190, 1933. The Lovasz Theta Function and a Semidefinite Programming.. http://citeseer.nj.nec.com/context/9609/0

3 citations found. Retrieving documents... K. Borsuk. Drei Satze uber die n-dimensionale euklidische Sphare . Fund. Math. 20:177190, 1933. Home/Search Document Not in Database Summary Related Articles Check This paper is cited in the following contexts: Emerging Challenges in Computational Topology - Bern, Eppstein, al. (1999) (1 citation) (Correct) ....geometry, such as Morse theory for studying singularities, are essential in analyzing surfaces and models in diverse applications such as medical imaging, crystallography, and molecular modeling. Topological Methods in Discrete Geometry. Topological results such as the Borsuk Ulam theorem [ ] that any continuous antipodal function on a sphere must have a zero, have commonly been used in discrete geometry to prove the existence of geometric configurations such as ham sandwich cuts and centerpoints [Bjo95, Ziv97] However, such methods do not generally lead to efficient algorithms . Karol Borsuk. Drei Satze uber die n-dimensionale euklidische Sphare . Fund. Math., 20:177190, 1933. The Lovasz Theta Function and a Semidefinite Programming.. - Kleinberg, Goemans (1995)

37. Mathematicians During The Third Reich And World War II Imprisoned borsuk, karol imprisoned in Poland Caccioppoli, Renato In May 1938Hitler was visiting Naples with Mussolini Caccioppoli, who had already shown http://wwwzenger.informatik.tu-muenchen.de/persons/huckle/mathwar.html

Mathematicians during the Third Reich and World War II Prof. Thomas Huckle huckle@in.tum.de Last modified: February/25/2002 Died Imprisoned Hidden Emigration ... General Information Died: Banach, Stefan: In Lvov good terms with Russian occupation troops 1939. Returned from Kiev to Lvov after German invasion of Russia. Worked feeding lice in German institute dealing with infectious diseases, until July 1944 when Russain troops retook Lvov. Was already seriuosly ill, died 1945 of lung cancer. Berwald, Ludwig: Dismissed 1939 in Prague; Deportation by Gestapo to Lodz where he died in April 1942. Blumenthal, Otto: dismissed 1939 from Aachen and - for a short while - kept in "protective custody". In 1939 he went to Holland. When the Netherlands had fallen, he refused the help of Dutch friends and was deported to Theresienstadt where he died 1944. Dickstein, Samuel: Died in the Nazi bombing of Warsaw in 1939. Epstein, Paul: Frankfurt 1919 until 1935, suicide after summon from Gestapo August 1939. Froehlich, Walter:

38. Books Written In Polish Projective geometry. By karol borsuk and Wanda Szmielew. Rev. Translated fromPolish by Erwin Marquit. borsuk, karol. Amsterdam, NorthHolland Pub. http://www.waikato.ac.nz/library/resources/lang/lang_pol.html

Books written in Polish Pure Sciences 509.2 CUR DOR Maria Skodowska Curie. Hurwic, Józef. Warsaw : Polonia Publishing House, 1967. 35 p. : ill., facsims., ports. ; 21 cm. 515 KUR Introduction to calculus. Translated from the Polish by Julian Musielak. Kuratowski, Kazimierz, 1896- Oxford, New York, Pergamon Press [1969] 336 p. illus. 23 cm. 568.19 KIE Hunting for dinosaurs [by] Zofia Kielan-Jaworowska. Translated from the Polish. Kielan-Jaworowska, Zofia. Cambridge, Mass., MIT Press [c1969] 1 v. (unpaged) illus. 18 x 24 cm. Applied Sciences, Technology 644 G 1968 Map Lib Geological atlas of Poland. Editor in chief: Jerzy Znosko. Znosko, Jerzy. Warsaw, Geological Institute, 1968. [7] p., 10 fold. col. maps (in portfolio) 22 x 31 cm. Arts, Recreation and Sport 791.437 POL Knife in the water / [original screenplay by Jerzy Skolimowski, Jakub Goldberg and Roman Polanski ; translated from the Polish by Boleslaw Sulik]. Repulsion / [original screenplay by Roman Polanski and Gerard Brach] and Cul-de-sac / [original screenplay Skolimowski, Jerzy.

39. Matches For: MR=26:638 26 638 50.05 borsuk, karol; Szmielew, Wanda. Foundations of geometryEuclidean and BolyaiLobachevskian geometry; projective geometry. http://www.ams.org/mathscinet-getitem?mr=26:638

40. Matches For: MR=35:7306 35 7306 54.60 (55.00) borsuk, karol. Theory of retracts. Monografie Matematyczne,Tom 44 Pa\'nstwowe Wydawnictwo Naukowe, Warsaw, 1967 251 pp. http://www.ams.org/mathscinet-getitem?mr=35:7306

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