| Native name | Edward Szpilrajn |
|---|---|
| Birth date | 15 November 1907 |
| Birth place | Warsaw, Vistula Land, Russian Empire |
| Death date | 17 October 1976 (aged 68) |
| Death place | Wrocław, Poland |
| Citizenship | Russian, Polish |
| Fields | Mathematics |
| Workplaces | University of Wrocław Polish Academy of Sciences |
| Alma mater | University of Warsaw |
| Thesis year | 1932 |
| Doctoral advisor | Wacław Sierpiński |
| Doctoral students | |
| Known for | Szpilrajn extension theorem Marczewski function |
| Awards | Gold Cross of Merit (1950)[1] |
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]
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. He worked at the State Institute of Mathematics, which was incorporated into the Polish Academy of Sciences in 1952.[4]
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).[5] 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
- ^ Monitor Polski, 1950, Nr A-85/poz. 1021
- ^ "pl.Billiongraves.com". Retrieved 2019-04-22.
- ^ Hartman, Stanislaw et al.: preface to "Collected papers of Edward Marczewski", Institute of Mathematics of the Polish Academy of Sciences, Warsaw 1996.
- ^ "History". impan.pl. Archived from the original on 25 December 2024. Retrieved 7 December 2024.
- ^ Szpilrajn, E. (1937). "La dimension et la mesure". Fund. Math.. 28: 81–89. doi:10.4064/fm-28-1-81-89