Nationality Polish Education University of Warsaw Alma mater Warsaw University Fields Mathematics | Name Karol Borsuk Role Mathematician | |
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Born May 8, 1905
Warsaw, Poland, Russian Empire ( 1905-05-08 ) Notable students Samuel Eilenberg, Andrzej Granas, Jan Jaworowski, Hanna Patkowska, Wlodzimierz Kuperberg, Krystyna Kuperberg, Henryk Torunczyk (mathematician) Known for Borsuk's conjecture
Borsuk–Ulam theorem Died January 24, 1982, Warsaw, Poland Books Theory of retracts, Theory of shape, Multidimensional analytic geometry Similar People Kazimierz Kuratowski, Samuel Eilenberg, Krystyna Kuperberg, William Jaco | ||
Doctoral advisor Stefan Mazurkiewicz | ||
Kasia jankowska i karol borsuk walc wiede ski
Karol Borsuk (May 8, 1905 – January 24, 1982) was a Polish mathematician. His main interest was topology.
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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.
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, and Andrzej Trybulec.