Definition:Weakly Locally Compact Space

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Definition

Let $T = \left({S, \tau}\right)$ 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.