Bronisław Knaster

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Bronisław Knaster
Bronislaw Knaster.jpeg
Bronisław Knaster
Born (1893-05-22)22 May 1893
Warsaw, Russian Poland
Died 3 November 1980(1980-11-03) (aged 87)
Wrocław, Poland
Nationality Polish
Alma mater University of Wrocław
Known for KKM lemma
Scientific career
Fields Mathematics
Institutions University of Wrocław
Doctoral advisor Stefan 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]

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.[2] Together with his teacher Hugo Steinhaus and his colleague Stefan Banach, he also developed the last diminisher procedure for fair cake cutting.[3]:2

Knaster received his Ph.D. degree from University of Warsaw in 1925, under the supervision of Stefan Mazurkiewicz.[4]

See also[edit]


  1. ^ Duda, Roman (1987), "Life and work of Bronisław Knaster (1893–1980)" (PDF), Colloquium Mathematicum, 51: 85–102, MR 0891276.
  2. ^ Charatonik, Janusz J. (1997), "The works of Bronisław Knaster (1893–1980) in continuum theory", Handbook of the history of general topology, Vol. 1, Kluwer Acad. Publ., Dordrecht, pp. 63–78, doi:10.1007/978-94-017-0468-7_5, MR 1617581.
  3. ^ Barbanel, Julius B.; with an introduction by Alan D. Taylor (2005). The geometry of efficient fair division. 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.
  4. ^ Bronisław Knaster at the Mathematics Genealogy Project