7. Notions of compactness

7.1 Compact spaces

A compact metric space is separable and totally bounded (Fréchet, 1910) (p. 85 of , p. 275 of ). And furthermore :

Theorem...

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Notions of compactness

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(1) - AARTS (J.M.), NISHIURA (T.) - Dimension and Extensions, - North Holland, 331 pages (1993).
(2) - ADAMS (C.), FRANZOSA (R.) - Introduction to Topology Pure and Applied, - Pearson, 507 pages (2008).
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