Bronisław Knaster

Bronisław Knaster
Bronisław Knaster
Born(1893-05-22)22 May 1893
Warsaw, Congress Poland, Russian Empire
Died3 November 1980(1980-11-03) (aged 87)
Wrocław, Poland
NationalityPolish
Alma materUniversity of Wrocław
Known forKKM lemma
Knaster–Tarski theorem
Knaster–Kuratowski fan
Knaster's condition
Knaster continuum
Scientific career
FieldsMathematics
InstitutionsUniversity of Wrocław
Doctoral advisorStefan Mazurkiewicz

Bronisław Knaster (22 May 1893 – 3 November 1980) was a Polish mathematician; from 1939 a university professor in Lwów and from 1945 in Wrocław.[1]

In 1945, he completed a project in collaboration with Karol Borsuk and Kazimierz Kuratowski concerning the establishment of the Institute of Mathematics of the Polish Academy of Sciences.[2]

He is known for his work in point-set topology and in particular for his discoveries in 1922 of the hereditarily indecomposable continuum or pseudo-arc and of the Knaster continuum, or buckethandle continuum.[3] Together with his teacher Hugo Steinhaus and his colleague Stefan Banach, he also developed the last diminisher procedure for fair cake cutting.[4]: 2 

Knaster received his Ph.D. degree from University of Warsaw in 1922 under the supervision of Stefan Mazurkiewicz.[5]

See also

References

  1. ^ Duda, Roman (1987), "Life and work of Bronisław Knaster (1893–1980)" (PDF), Colloquium Mathematicum, 51: 85–102, doi:10.4064/cm-51-1-85-102, MR 0891276.
  2. ^ "History". impan.pl. Retrieved 7 December 2024.
  3. ^ Charatonik, Janusz J. (1997), "The works of Bronisław Knaster (1893–1980) in continuum theory", Handbook of the history of general topology, Vol. 1, History of Topology, vol. 1, Kluwer Acad. Publ., Dordrecht, pp. 63–78, doi:10.1007/978-94-017-0468-7_5, ISBN 978-90-481-4820-2, MR 1617581.
  4. ^ Barbanel, Julius B. (2005). The geometry of efficient fair division. Introduction by Alan D. Taylor. Cambridge: Cambridge University Press. doi:10.1017/CBO9780511546679. ISBN 0-521-84248-4. MR 2132232. Short summary is available at: Barbanel, J. (2010). "A Geometric Approach to Fair Division". The College Mathematics Journal. 41 (4): 268. doi:10.4169/074683410x510263.
  5. ^ Bronisław Knaster at the Mathematics Genealogy Project


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