Compact Space is Weakly Sigma-Locally Compact

Theorem
Let $T = \left({X, \vartheta}\right)$ be a compact space.

Then $T$ is a $\sigma$-locally compact space.

Proof
Let $T = \left({X, \vartheta}\right)$ be a compact space.

We have that:
 * Compact Space is Sigma-Compact
 * Compact Space is Locally Compact

Hence by definition $T$ is $\sigma$-locally compact space.