Edward Marczewski

Edward Marczewski
Edward Marczewski
Edward Szpilrajn
	Edward Marczewski in Lvov, 1930
Born	15 November 1907; Warsaw, Vistula Land, Russian Empire
Died	17 October 1976 (aged 68); Wrocław, Poland
Citizenship	Russian, Polish
Alma mater	University of Warsaw
Known for	Szpilrajn extension theorem; Marczewski function
Awards	Gold Cross of Merit (1950)
	Scientific career
Fields	Mathematics
Institutions	University of Wrocław; Polish Academy of Sciences
Thesis	(1932)
Doctoral advisor	Wacław Sierpiński
Doctoral students	Siemion Fajtlowicz; Stanisław Hartman [pl]; Jerzy Płonka [pl]; Kazimierz Urbanik;

Edward Marczewski (15 November 1907 – 17 October 1976^[2]) was a Polish mathematician. He was born Szpilrajn but changed his name while hiding from Nazi persecution.^[3]

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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).^[4] 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.)

[1]
Monitor Polski, 1950, Nr A-85/poz. 1021
[2]
"pl.Billiongraves.com". Retrieved 2019-04-22.
[3]
Hartman, Stanislaw et al.: preface to "Collected papers of Edward Marczewski", Institute of Mathematics of the Polish Academy of Sciences, Warsaw 1996.
[4]
Szpilrajn, E. (1937). "La dimension et la mesure". Fund. Math. 28: 81–89. doi:10.4064/fm-28-1-81-89.