Fréchet coined the term 'compactness' in his 1906 doctoral thesis.
Replying to @TopologyFact
'compact' yes, but not 'compactness' (he'd've said 'compacité' - https://fr.wikipedia.org/wiki/Compacité_(mathématiques) … ). I feel so petty saying it, but your quotation marks set me off... (also according to wikipedia he coined it first in a 1904 paper https://en.wikipedia.org/wiki/Compact_space … (which I don't have access to)).
10:12 AM - 17 May 2019
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