Paracompact space
This article defines a property of topological space that is pivotal (viz important) among currently studied properties of topological spaces
This is a variation of compactness. View other variations of compactness
Definition
A topological space is said to be paracompact if it satisfies the following condition: every open cover has a locally finite open refinement.
Relation with other properties
This property is a pivotal (important) member of its property space. Its variations, opposites, and other properties related to it and defined using it are often studied
Category:Variations of paracompactness
Stronger properties
- Compact space
- Hereditarily paracompact space
- Strongly paracompact space
- Paracompact Hausdorff space
- Regular Lindelof space
- Metrizable space