Countable Discrete Space is Sigma-Compact/Proof 2

Theorem

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


Then $T$ is $\sigma$-compact.


Proof

A direct application of Countable Space is Sigma-Compact.

This article is issued from ProofWiki. The text is available under Creative Commons Attribution-ShareAlike License unless otherwise noted. Additional terms may apply for the media files.