Karol Borsuk

Karol Borsuk

Infobox Scientist
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name = Karol Borsuk

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birth_date = birth date|1905|5|8
birth_place = Warsaw, Poland
death_date = death date and age|1982|1|24|1905|5|8
death_place = Warsaw, Poland
residence =
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nationality = POL
ethnicity =
fields = Mathematics
workplaces =
alma_mater = Warsaw University
doctoral_advisor = Stefan Mazurkiewicz
academic_advisors =
doctoral_students =
notable_students = Samuel Eilenberg
Krystyna Kuperberg
known_for = Borsuk's conjecture
Borsuk-Ulam theorem
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influences =
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Karol Borsuk (May 8, 1905, Warsaw – January 24, 1982, Warsaw) was a Polish mathematician. His main interest was topology.

Borsuk introduced the theory of "absolute retracts" (ARs) and "absolute neighborhood retracts" (ANRs), and the cohomotopy groups, later called Borsuk-Spanier cohomotopy groups. 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 and Krystyna Kuperberg.

ee also

* Borsuk's conjecture
* Borsuk-Ulam theorem
* Zygmunt Janiszewski
* shape theory
* Stanislaw Ulam
* Scottish Café


* "Geometria analityczna w n wymiarach" (1950)
* "Podstawy geometrii" (1955)
* "Foundations of Geometry" (1960) with Wanda Szmielew, North Holland publisher
* "Theory of Retracts" (1966)
* "Theory of Shape" (1975)

External links

*MacTutor Biography|id=Borsuk
*MathGenealogy |id=12548

NAME= Borsuk, Karol
SHORT DESCRIPTION=Polish mathematician
DATE OF BIRTH= 1905-5-8
PLACE OF BIRTH= Warsaw, Poland
DATE OF DEATH= 1982-1-24
PLACE OF DEATH= Warsaw, Poland

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Look at other dictionaries:

  • Karol Borsuk — (né le 8 mai 1905 à Varsovie, mort le 24 janvier 1982 dans cette même ville) est un mathématicien polonais spécialiste de la topologie et de l homotopie. En 1927, puis en 1930, il est lauréat du Master de mathématiques puis soutient un doctorat… …   Wikipédia en Français

  • Karol Borsuk — (* 8. Mai 1905 in Warschau; † 24. Januar 1982 ebenda) war ein polnischer Mathematiker. Leben und Wirken Er studierte an der Universität Warschau (Abschluss 1927) und promovierte dort 1930 bei Stefan Mazurkiewicz (Sur les rétractes). In Lvov… …   Deutsch Wikipedia

  • Karol Borsuk — Nacimiento 8 de mayo de 1905  Polonia …   Wikipedia Español

  • Karol Borsuk — (8 de mayo de 1905 24 de enero de 1982). Matemático polaco nacido en Varsovia. Se graduó y doctoró en la Universidad de Varsovia en 1927 y 1930, respectivamente. Miembro de la Academia polaca de ciencias desde 1952. Su área de interés principal… …   Enciclopedia Universal

  • Borsuk — Karol Borsuk (* 8. Mai 1905 in Warschau; † 24. Januar 1982 in Warschau) war ein polnischer Mathematiker. Er studierte an der Universität Warschau und promovierte dort 1930. In Lvov lernte er Stanislaw Ulam kennen und arbeitet mit ihm zusammen.… …   Deutsch Wikipedia

  • Karol — ist ein männlicher Vorname. Inhaltsverzeichnis 1 Herkunft und Bedeutung 2 Bekannte Namensträger 2.1 Vorname 2.2 Familienname …   Deutsch Wikipedia

  • Borsuk — (the Polish word for badger ) may refer to: *Karol Borsuk, Polish mathematician *Borsuk, Hrubieszów County in Lublin Voivodeship (east Poland) *Borsuk, Krasnystaw County in Lublin Voivodeship (east Poland) …   Wikipedia

  • Borsuk-Vermutung — Die Borsuk Vermutung ist eine mathematische Vermutung aus dem Bereich der Geometrie. Es geht dabei um die Frage, in wie viele Teile man eine gegebene Menge beschränkten Durchmessers zerlegen muss, damit jeder Teil einen echt kleineren Durchmesser …   Deutsch Wikipedia

  • Borsuk's conjecture — The Borsuk problem in geometry, for historical reasons incorrectly called a Borsuk conjecture, is a question in discrete geometry.ProblemIn 1932 Karol Borsuk has shownK. Borsuk, Drei Sätze über die n dimensionale euklidische Sphäre , Fundamenta… …   Wikipedia

  • Borsuk–Ulam theorem — The Borsuk–Ulam theorem states that any continuous function from an n sphere into Euclidean n space maps some pair of antipodal points to the same point.(Two points on a sphere are called antipodal if they are in exactly opposite directions from… …   Wikipedia

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