Karol Borsuk: Difference between revisions
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Borsuk received his [[master's degree]] and [[doctorate]] from [[Warsaw University]] in 1927 and 1930, respectively; his [[PhD]] thesis advisor was [[Stefan Mazurkiewicz]]. He was a member of the [[Polish Academy of Sciences]] from 1952. Borsuk's students include: [[Samuel Eilenberg]], Andrzej Kirkor, [[Jan Jaworowski]], Andrzej Granas, Antoni Kosiński, Karol Sieklucki, Włodzimierz Holsztyński, Rafał Molski, Hanna Patkowska, Andrzej Jankowski, [[Włodzimierz Kuperberg]], Stanisław Spież, [[Krystyna Kuperberg]], Jerzy Dydak, [[Andrzej Trybulec]], Marian Orłowski, Alfred Surzycki.<ref>{{MathGenealogy|12548}}</ref> |
Borsuk received his [[master's degree]] and [[doctorate]] from [[Warsaw University]] in 1927 and 1930, respectively; his [[PhD]] thesis advisor was [[Stefan Mazurkiewicz]]. He was a member of the [[Polish Academy of Sciences]] from 1952. Borsuk's students include: [[Samuel Eilenberg]], Andrzej Kirkor, [[Jan Jaworowski]], Andrzej Granas, Antoni Kosiński, Karol Sieklucki, Włodzimierz Holsztyński, Rafał Molski, Hanna Patkowska, Andrzej Jankowski, [[Włodzimierz Kuperberg]], Stanisław Spież, [[Krystyna Kuperberg]], Jerzy Dydak, [[Andrzej Trybulec]], Marian Orłowski, Alfred Surzycki.<ref>{{MathGenealogy|12548}}</ref> |
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Borsuk introduced the theory of |
Borsuk introduced the theory of [[absolute retract]]s (ARs) and [[absolute neighborhood retract]]s (ANRs), and the [[cohomotopy group]]s, later called Borsuk–[[Edwin Spanier|Spanier]] cohomotopy groups. He also founded [[Shape theory (mathematics)|shape theory]]. He has constructed various beautiful examples of [[topological space]]s, e.g. an acyclic, 3-dimensional [[continuum (topology)|continuum]] which admits a fixed point free [[homeomorphism]] onto itself; also 2-dimensional, contractible polyhedra which have no free edge. His topological and geometric conjectures and themes stimulated research for more than half a century; in particular, his open problems stimulated the infinite-dimensional topology. |
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==Works== |
==Works== |
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Revision as of 13:53, 16 November 2024
Karol Borsuk | |
|---|---|
 | |
| Born | 8 May 1905 |
| Died | 24 January 1982 (aged 76) |
| Nationality | Polish |
| Alma mater | Warsaw University |
| Known for | Borsuk's conjecture Borsuk–Ulam theorem Bing–Borsuk conjecture Absolute retract Absolute neighborhood retract |
| Scientific career | |
| Fields | Mathematics |
| Doctoral advisor | Stefan Mazurkiewicz |
| Notable students | |
Karol Borsuk (8 May 1905 – 24 January 1982) was a Polish mathematician. His main interest was topology, while he obtained significant results also in functional analysis.
Life and research
Borsuk received his master's degree and doctorate from Warsaw University in 1927 and 1930, respectively; his PhD thesis advisor was Stefan Mazurkiewicz. He was a member of the Polish Academy of Sciences from 1952. Borsuk's students include: Samuel Eilenberg, Andrzej Kirkor, Jan Jaworowski, Andrzej Granas, Antoni Kosiński, Karol Sieklucki, Włodzimierz Holsztyński, Rafał Molski, Hanna Patkowska, Andrzej Jankowski, Włodzimierz Kuperberg, Stanisław Spież, Krystyna Kuperberg, Jerzy Dydak, Andrzej Trybulec, Marian Orłowski, Alfred Surzycki.[1]
Borsuk introduced the theory of absolute retracts (ARs) and absolute neighborhood retracts (ANRs), and the cohomotopy groups, later called Borsuk–Spanier cohomotopy groups. He also founded shape theory. He has constructed various beautiful examples of topological spaces, e.g. an acyclic, 3-dimensional continuum which admits a fixed point free homeomorphism onto itself; also 2-dimensional, contractible polyhedra which have no free edge. His topological and geometric conjectures and themes stimulated research for more than half a century; in particular, his open problems stimulated the infinite-dimensional topology.
Works
- Geometria analityczna w n wymiarach (1950) (translated to English as Multidimensional Analytic Geometry, Polish Scientific Publishers, 1969)
- Podstawy geometrii (1955)
- Foundations of Geometry (1960) with Wanda Szmielew, North Holland publisher[2]
- Theory of Retracts (1967), PWN, Warszawa.
- Theory of Shape (1975)
- Collected papers vol. I, (1983), PWN, Warszawa.
See also
- Zygmunt Janiszewski
- Stanislaw Ulam
- Scottish Café
- Animal Husbandry, an educational dice game published by Borsuk at his own expense in 1943 during the German occupation of Warsaw. The original game was lost during the Warsaw uprising in August 1944. Very few copies survived outside Warsaw and one was given back to the Borsuk family. The game is now published by Granna under the name of "Super Farmer".
References
- ^ Karol Borsuk at the Mathematics Genealogy Project
- ^ Freudenthal, H. (1961). "Review: Foundations of geometry, Euclidean and Bolyai–Lobachevskian geometry, projective geometry. By K. Borsuk and Wanda Szmielew. Revised English translation" (PDF). Bull. Amer. Math. Soc. 67 (4): 342–344. doi:10.1090/s0002-9904-1961-10606-x.
External links
- Warsaw School of Mathematics
- Topologists
- Members of the Polish Academy of Sciences
- University of Warsaw alumni
- Academic staff of the University of Warsaw
- People from Warsaw Governorate
- 1905 births
- 1982 deaths
- Prisoners of Dulag 121 Pruszków
- Recipients of the Medal of the 10th Anniversary of the People's Republic of Poland