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Edward Marczewski

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Nationality  Polish
Education  University of Warsaw
Alma mater  University of Warsaw
Fields  Mathematics

Name  Edward Marczewski
Role  Mathematician

Born  15 November 1907 Warsaw, Congress Poland, Russian Empire (1907-11-15)
Institutions  University of Wroclaw Polish Academy of Sciences
Doctoral students  Siemion Fajtlowicz Marek Fisz Stanislaw Hartman
Known for  Szpilrajn extension theorem Marczewski function
Died  October 17, 1976, Wroclaw, Poland
Books  Collected Mathematical Papers

Doctoral advisor  Waclaw Sierpinski
Notable students  Siemion Fajtlowicz

Edward Marczewski (15 November 1907 – 17 October 1976) was a Polish mathematician. He was born Szpilrajn but changed his name while hiding from Nazi persecution.

Marczewski was a member of the Warsaw School of Mathematics. His life and work after the Second World War were connected with Wrocław, where he was among the creators of the Polish scientific centre.

Marczewski's main fields of interest were measure theory, descriptive set theory, general topology, probability theory and universal algebra. He also published papers on real and complex analysis, applied mathematics and mathematical logic.

Marczewski proved that the topological dimension, for arbitrary metrisable separable space X, coincides with the Hausdorff dimension under one of the metrics in X which induce the given topology of X (while otherwise the Hausdorff dimension is always greater or equal to the topological dimension). This is a fundamental theorem of fractal theory. (Certain contributions to this development were also made by Samuel Eilenberg, see: Witold Hurewicz and Henry Wallman, Dimension Theory, 1941, Chapter VII.)


Edward Marczewski Wikipedia

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