Topological Spaces I. Basic Notions : Notions of compactness

Notions of compactness
Topological Spaces I. Basic Notions

Author : Jean-Charles PINOLI

Review date: May 7, 2021 | Lire en français

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8. Notions of compactness

The concept of compactness makes it possible to reduce problems of seemingly infinite complexity to the study of a finite number of cases.

In a separate topological space T₂, compact subsets behave "like" finite collections of points (p. 225 of , p. 133 of ).

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Ongoing reading
Notions of compactness

(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).
(3)...

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