Friedrich Moritz Hartogs | |
|---|---|
 Friedrich Hartogs | |
| Born | (1874-05-20)20 May 1874 |
| Died | 18 August 1943(1943-08-18) (aged 69) |
| Nationality | German |
| Known for | Hartogs domain Hartogs number Hartogs's theorem Hartogs's extension theorem Hartogs–Rosenthal theorem |
| Scientific career | |
| Fields | complex analysis,set theory,several complex variables |
| Doctoral advisor | Alfred Pringsheim |
Friedrich Moritz "Fritz" Hartogs (20 May 1874 – 18 August 1943) was aGerman-Jewish mathematician, known for his work onset theory and foundational results onseveral complex variables.
Hartogs was the son of the merchant Gustav Hartogs and his wife Elise Feist and grew up inFrankfurt am Main.He studied at theKönigliche Technische Hochschule Hannover, at theTechnische Hochschule Charlottenburg, at theUniversity of Berlin, and at theLudwig Maximilian University of Munich, graduating with a doctorate in 1903 (supervised byAlfred Pringsheim). He did hisHabilitation in 1905 and wasPrivatdozent and Professor in Munich (from 1910 to 1927 extraordinary professor and since 1927 ordinary professor). As a Jew, he suffered greatly under the Nazi regime: he was fired in 1935, was mistreated and briefly interned inDachau concentration camp in 1938, and eventually committed suicide in 1943.
Hartogs' main work was inseveral complex variables where he is known forHartogs's theorem,Hartogs's lemma (also known as Hartogs's principle or Hartogs's extension theorem) and the concepts of holomorphic hull anddomain of holomorphy.
In set theory, he contributed to the theory ofwell-orders and proved what is also known asHartogs's theorem: for every setx there is a well-ordered set that cannot be injectively embedded inx.The smallest such set is known as theHartogs number or Hartogs Aleph ofx.
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