Karol Borsuk
Karol Borsuk | |
|---|---|
Warsaw University | |
| Known for | Borsuk's conjecture Borsuk–Ulam theorem Bing–Borsuk conjecture |
| 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.
Borsuk introduced the theory of 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.
Borsuk received 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 (see https://www.genealogy.math.ndsu.nodak.edu/id.php?id=12548
).
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[1]
- 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
- 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
External links
Wikimedia Commons has media related to Karol Borsuk (mathematician).
- O'Connor, John J.; Robertson, Edmund F., "Karol Borsuk", MacTutor History of Mathematics Archive, University of St Andrews
- Karol Borsuk at the Mathematics Genealogy Project
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