Bronisław Knaster

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 Warsaw, Congress Poland, Russian Empire
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

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

• Knaster–Tarski theorem
• Knaster–Kuratowski fan
• Knaster's condition

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. 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.
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