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
Fields Mathematics
Institutions University of Wrocław
Alma mater University of Wrocław
Doctoral advisor Stefan Mazurkiewicz
Known for KKM lemma

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 891276 .
  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, MR 1617581, doi:10.1007/978-94-017-0468-7_5 .
  3. ^ Barbanel, Julius B.; with an introduction by Alan D. Taylor (2005). The geometry of efficient fair division. Cambridge: Cambridge University Press. ISBN 0-521-84248-4. MR 2132232. doi:10.1017/CBO9780511546679.  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