Countable chain condition: Difference between revisions
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A [[topological space]] is said to satisfy the '''countable chain condition''' or '''CCC''' if any family of disjoint open subsets of it is countable. Equivalently, its [[cellularity]] is countable. | A [[topological space]] is said to satisfy the '''countable chain condition''' or '''CCC''' if any family of disjoint open subsets of it is countable. Equivalently, its [[cellularity]] is countable. | ||
==Relation with other properties== | |||
===Stronger properties=== | |||
* [[Separable space]] | |||
Revision as of 23:48, 10 November 2007
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
Definition
A topological space is said to satisfy the countable chain condition or CCC if any family of disjoint open subsets of it is countable. Equivalently, its cellularity is countable.