Definition:Strongly Locally Compact Space

Definition
Let $T = \left({S, \tau}\right)$ be a topological space.

Then $T$ is strongly locally compact :
 * every point of $S$ is contained in an open set whose closure is compact.

Also see

 * Definition:Locally Compact
 * Strongly Locally Compact does not imply Locally Compact
 * Sequence of Implications of Local Compactness Properties