Stefan Mazurkiewicz

Stefan Mazurkiewicz ( born September 25, 1888 in Warsaw, † June 19, 1945 in Warszawa) was a Polish mathematician of the Warsaw mathematician school. His priorities were Analysis, Topology and probability theory.

He studied mathematics in Krakow, Munich and Göttingen and in 1913 received his doctorate in Waclaw Sierpiński on space-filling curves. In 1915 he became a professor at the newly founded Warsaw University, after the Russian rule in this part of Poland ended the First World War. He remained at the university, where he was temporarily Vice - rector for nine years and Dean of the Faculty of Mathematics and Natural Science.

He dealt first with general topology. With Zygmunt Janiszewski he had in 1917 a topology seminar in Warsaw. Before Karl Menger and Urysohn Pavel he introduced the dimension of compact sets. Some topological sets of Mazurkiewicz were found independently by Hans Hahn at the same time. He later turned to probability theory, where it independently in 1922 by Francesco Cantelli the strong law of large numbers proved developed a system of axioms and during the German occupation of Poland wrote a book on probability theory. Although the manuscript burned, but before his death he was still able to finish new parts that were published in 1956. He died in an operation because of an ulcer.

He was, along with Sierpiński and Janiszewski, the founder of the journal Fundamenta Mathematicae and from 1920 whose editor with Sierpinski. In 1922 he became a member of the Polska Akademia Nauk and 1917 member of the Polska Akademia Umiejętności. 1933 to 1935 he was President of the Polish Mathematical Society.

On him the set of Mazurkiewicz goes back.

Writings

  • Travaux et ses applications of topology, editor Karol Borsuk, Warsaw 1969
  • Fundamentals of probability theory (in Polish, Podstawy rachunku prawdopodobienstwa ), Mathematical Monographs No. 32, 1956
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