8. Notions of compactness

8.1 Compact topological spaces

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 T ₂ , compact subsets behave "like" finite collections of points (p. 225 of , p. 133 of

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!

Ongoing reading
Notions of compactness

Article included in this offer

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

(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).
...

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!