Bronisław Knaster

Bronisław Knaster

Bronisław Knaster (22 May 1893 in Warsaw - 3 November 1980 in Wrocław) was a Polish mathematician; from 1939 university professor in Lwów, 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

• 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, 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, 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