Limit point-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

Symbol-free definition

A topological space is said to be limit point-compact if every infinite subset of it has a limit point.

Relation with other properties

Stronger properties

• Compact space
• Countably compact space
• Sequentially compact space