# Definition:Weakly Locally Compact Space

## Definition

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

Then $T$ is weakly locally compact if and only if every point of $S$ has a compact neighborhood.

## Also known as

Some sources refer to this as locally compact, but modern developments have introduced a slightly stronger concept for which that term is usually used.

## Also see

• Results about weakly locally compact spaces can be found here.

## Sources

but note that they use the term locally compact.