Basics of set theory

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Fundamentals of set theory is an influential and often cited book on set theory and the magnum opus by Felix Hausdorff .

In the summer of 1912 he began work on the book, which was completed in Greifswald, where Hausdorff had been appointed full professor for the summer semester of 1913. It appeared in April 1914 and was the first comprehensive introduction to set theory. In addition to research results and the systematic treatment of known set-theoretical tasks, the book also contains chapters on measure theory and topology , which at that time still belonged to set theory.

The book was reprinted several times, including 1927, 1935 and 1965. A current edition of Grundzüge der Setlehre exists from Springer Verlag from 2002.


  1. Felix Hausdorff: Fundamentals of set theory . Veit & Comp., Leipzig 1914.
  2. Grundzüge der Setlehre , Veit & Comp., Leipzig 1914 (reproduced in Srishti D. Chatterji et al. (Ed.): Felix Hausdorff. Collected Works. Volume II: Grundzüge der Setlehre , Springer, Berlin 2002, ISBN 3-540- 42224-2 )