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.

Relation with other properties

Stronger properties