Definition:Strongly Locally Compact Space/Definition 1

Definition

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

The space $T$ is strongly locally compact if and only if:

every point of $S$ is contained in an open set whose closure is compact.

Also see

• Equivalence of Definitions of Strongly Locally Compact Space

Sources

• 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text I$: Basic Definitions: Section $3$: Compactness: Localized Compactness Properties