Pseudocompact 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 said to be pseudocompact if, under any continuous map to the real line, its image is bounded.

Relation with other properties

Stronger properties

• Compact space
• Feebly compact space (also called lightly compact space)

Related properties

• Realcompact space