Definition:Countable Chain Condition

Definition

Let $T = \struct {S, \tau}$ be a topological space.

$T$ satisfies the countable chain condition if and only if every disjoint set of open sets of $T$ is countable.

Also see

• Results about the countable chain condition can be found here.

Sources

• 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text I$: Basic Definitions: Section $3$: Compactness: Countability Axioms and Separability