Category:Sigma-Locally Compact Spaces

This category contains results about $\sigma$-locally compact spaces.

$T$ is $\sigma$-locally compact if and only if:

$T$ is $\sigma$-compact

$T$ is locally compact

That is, $T$ is $\sigma$-locally compact if and only if:

$T$ is the union of countably many compact subspaces

every point of $S$ has a local basis $\BB$ such that all elements of $\BB$ are compact.