KC-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 Hausdorffness. View other variations of Hausdorffness
Definition
Symbol-free definition
A topological space is termed a KC-space if every compact subset of it is closed (here, by compact subset, we mean a subset which is a compact space under the subspace topology).
Relation with other properties
Stronger properties
Weaker properties
- US-space:For full proof, refer: KC implies US
- T1 space