Feebly compact space

This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces

This is a variation of compactness. View other variations of compactness

Definition

A topological space is termed feebly compact or lightly compact if every locally finite collection of nonempty open subsets is finite.

Relation with other properties

Stronger properties

• Compact space: For full proof, refer: Compact implies feebly compact

Weaker properties

• Pseudocompact space