Editing Edward Marczewski

{{Short description|Polish mathematician (1907–1976)}}
{{Infobox scientist
|name              = Edward Marczewski
|native_name       = Edward Szpilrajn
|image             = Edward_Marczewski.jpg
|caption           = Edward Marczewski in Lvov, 1967
|birth_date        = 15 November 1907
|birth_place       = [[Warsaw]], [[Vistula Land]], [[Russian Empire]]
|death_date        = {{death date and age|1976|10|17|1907|11|15|df=y}}
|death_place       = [[Wrocław]], [[Polish People's Republic|Poland]]
|citizenship       = [[Russian Empire|Russian]], [[Poland|Polish]]
|fields            = [[Mathematics]]
|workplaces        = [[University of Wrocław]]<br>[[Polish Academy of Sciences]]
|alma_mater        = [[University of Warsaw]]
|thesis_year       = 1932
|doctoral_advisor  = [[Wacław Sierpiński]]
|doctoral_students = {{plainlist|1=
*[[Siemion Fajtlowicz]]
*{{ill|Stanisław Hartman|pl}}
*{{ill|Jerzy Płonka|pl}}
*[[Kazimierz Urbanik]]
}}
|known_for         = [[Szpilrajn extension theorem]]<br>[[Marczewski function]]
|awards            = [[File:POL_Złoty_Krzyż_Zasługi_BAR.svg|40px|Gold Cross of Merit]] [[Cross of Merit (Poland)|Gold Cross of Merit]] (1950)<ref>[[Monitor Polski]], 1950, Nr A-85/poz. [http://isap.sejm.gov.pl/DetailsServlet?id=WMP19500851021 1021]</ref>
}}
'''Edward Marczewski''' (15 November 1907 – 17 October 1976<ref>{{cite web|url=https://pl.billiongraves.com/grave/Edward-Marczewski/30697465|title=pl.Billiongraves.com|accessdate=2019-04-22}}</ref>) was a Polish [[mathematician]]. He was born '''Szpilrajn''' but changed his name while hiding from Nazi persecution.<ref>Hartman, Stanislaw et al.: preface to "[http://www-history.mcs.st-andrews.ac.uk/Extras/Marczewski_papers.html Collected papers of Edward Marczewski]", Institute of Mathematics of the Polish Academy of Sciences, Warsaw 1996.</ref>

Marczewski was a member of the [[Warsaw School (mathematics)|Warsaw School of Mathematics]]. His life and work after the [[World War II|Second World War]] were connected with [[Wrocław]], where he was among the creators of the Polish scientific centre. He worked at the [[Institute of Mathematics of the Polish Academy of Sciences|State Institute of Mathematics]], which was incorporated into the [[Polish Academy of Sciences]] in 1952.<ref>{{Cite web |url=https://www.impan.pl/en/insitute/about-us/history |title=History |website=impan.pl |access-date=7 December 2024}}</ref>

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 space|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).<ref>{{cite journal|author=Szpilrajn, E.|year=1937|title=La dimension et la mesure|journal=Fund. Math.|volume=28|pages=81–89|doi=10.4064/fm-28-1-81-89 |doi-access=free}}</ref> 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==
{{Reflist}}

==External links==
*{{MacTutor Biography|id=Marczewski}}
*{{commons category inline|Edward Marczewski (mathematician)}}

{{Authority control}}

{{DEFAULTSORT:Marczewski, Edward}}
[[Category:1907 births]]
[[Category:1976 deaths]]
[[Category:20th-century Polish Jews]]
[[Category:Warsaw School of Mathematics]]
[[Category:People from Warsaw Governorate]]
[[Category:University of Warsaw alumni]]
[[Category:Academic staff of the University of Wrocław]]


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