Excluded Point Space is Sequentially Compact

Theorem
Let $T = \struct {S, \tau_{\bar p} }$ be an excluded point space.

Then $T$ is a sequentially compact space.

Proof

 * Excluded Point Space is Compact
 * Compact Space is Countably Compact
 * Excluded Point Space is First-Countable


 * First-Countable Space is Sequentially Compact iff Countably Compact