Compact metrizable space

From Topospaces
Revision as of 01:49, 2 February 2008 by Vipul (talk | contribs) (New page: {{topospace property conjunction|compactness|metrizability}} ==Definition== ===Symbol-free definition=== A topological space is termed '''compact metrizable''' if it is [[compact sp...)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

This article describes a property of topological spaces obtained as a conjunction of the following two properties: compactness and metrizability

Definition

Symbol-free definition

A topological space is termed compact metrizable if it is compact and metrizable, or eqiuvalently, if it can be given the structure of a compact metric space.