Heine–Borel theorem/Definition

From Citizendium, the Citizens' Compendium
Jump to: navigation, search
This article is a stub and thus not approved.
Main Article
Talk
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
A definition or brief description of Heine–Borel theorem.

In Euclidean space of finite dimension with the usual topology, a subset is compact if and only if it is closed and bounded.