Edward Marczewski

Edward Marczewski
Born 15 November 1907
Warsaw, Congress Poland, Russian Empire
Died 17 October 1976 (aged 68)
Wrocław, Poland
Nationality  Polish
Fields Mathematics
Institutions University of Wrocław
Polish Academy of Sciences
Alma mater University of Warsaw
Doctoral advisor Wacław Sierpiński
Doctoral students Siemion Fajtlowicz
Marek Fisz
Stanisław Hartman
Known for Szpilrajn extension theorem
Marczewski function

Edward Marczewski (15 November 1907 – 17 October 1976) was a Polish mathematician. His surname until 1940 was Szpilrajn.

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).[1] 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.)

References

  1. ↑ Szpilrajn, E. (1937). "La dimension et la mesure". Fund. Math. 28: 81–89.

External links