According to Wikipedia https://en.wikipedia.org/wiki/Pavel_Urysohn, Urysohn and Alexandrov first formulated the modern definition of compactness. In which paper did they do this? Is there an English translation? If so, where can I find it?
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2$\begingroup$ See A pedagogical history of compactness by Manya Raman-Sundstrom (2015) AND La genèse du théorème de recouvrement de Borel by Bernard Maurey and Jean-Pierre Tacchi (2005) AND The Borel theorem and its generalizations by Hildebrandt (1926). $\endgroup$– Dave L RenfroSep 11, 2018 at 15:43
1 Answer
See Wiki's entry on Compact space :
Alexandrov, Pavel and Urysohn, Pavel (1929), "Mémoire sur les espaces topologiques compacts", Koninklijke Nederlandse Akademie van Wetenschappen te Amsterdam, Proceedings of the section of mathematical sciences, 14.