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
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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.
answered Sep 11, 2018 at 15:17