# Category:Locally Compact Spaces

This category contains results about Locally Compact Spaces.

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

Then $T$ is locally compact if and only if:

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

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Locally Compact Spaces"

The following 6 pages are in this category, out of 6 total.