Edward Marczewski in Lvov, 1930
|Native name||Edward Szpilrajn|
15 November 1907|
Warsaw, Congress Poland, Russian Empire
|Died||17 October 1976
|Institutions||University of Wrocław
Polish Academy of Sciences
|Alma mater||University of Warsaw|
|Doctoral advisor||Wacław Sierpiński|
|Known for||Szpilrajn extension theorem
|Notable awards||Gold Cross of Merit (1950)|
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.)
- O'Connor, John J.; Robertson, Edmund F., "Edward Marczewski", MacTutor History of Mathematics archive, University of St Andrews.
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