# Contents

## Definition

A topological space is called countably compact if every open cover consisting of a countable set of open subsets (every countable cover) admits a finite subcover, hence if there is a finite subset of the open in the original cover which still cover the space.

## Properties

Last revised on April 30, 2017 at 13:43:16. See the history of this page for a list of all contributions to it.