Countable Fort Space is Separable

Theorem

Let $T = \struct {S, \tau_p}$ be a Fort space on a countably infinite set $S$.

Then $T$ is a separable space.

Proof

This result follows trivially from Countable Space is Separable.

Sources

• 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text {II}$: Counterexamples: $23$. Countable Fort Space: $6$