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)