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]

Bronisław Knaster
Bronisław Knaster
Born(1893-05-22)22 May 1893
Died3 November 1980(1980-11-03) (aged 87)
NationalityPolish
Alma materUniversity of Wrocław
Known forKKM lemma
Scientific career
FieldsMathematics
InstitutionsUniversity of Wrocław
Doctoral advisorStefan Mazurkiewicz

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 1922. under the supervision of Stefan Mazurkiewicz.[4]

See also edit

References edit

  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. ^ 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. (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.
  4. ^ Bronisław Knaster at the Mathematics Genealogy Project