May 8, 1905|
Warsaw, Poland, Russian Empire
|Died||January 24, 1982
|Alma mater||Warsaw University|
|Doctoral advisor||Stefan Mazurkiewicz|
|Notable students||Samuel Eilenberg
|Known for||Borsuk's conjecture
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 the so-called 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.
Borsuk received his master's degree and doctorate from Warsaw University in 1927 and 1930, respectively; his Ph.D. thesis advisor was Stefan Mazurkiewicz. He was a member of the Polish Academy of Sciences from 1952. Borsuk's students included Samuel Eilenberg, Jan Jaworowski, Krystyna Kuperberg, Włodzimierz Kuperberg, Andrzej Trybulec, Włodzimierz Holsztyński and Jerzy Dydak.
- Borsuk's conjecture
- Borsuk–Ulam theorem
- 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.
- Geometria analityczna w n wymiarach (1950)
- Podstawy geometrii (1955)
- Foundations of Geometry (1960) with Wanda Szmielew, North Holland publisher
- Theory of Retracts (1967), PWN, Warszawa.
- Theory of Shape (1975)
- Collected papers vol. I, (1983), PWN, Warszawa.
- Freudenthal, H. (1961). "Review: Foundations of geometry, Euclidean and Bolyai-Lobachevskian geometry, projective geometry. By K. Borsuk and Wanda Szmielew. Revised English translation.". Bull. Amer. Math. Soc. 67 (4): 342–344. doi:10.1090/s0002-9904-1961-10606-x.
- 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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