Ultraparacompact 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 ultraparacompact if every open cover has a disjoint clopen refinement.

Formalisms

A refinement formal expression for ultraparacompactness is:

Open $\to$ Disjoint clopen

Relation with other properties

Weaker properties

• Paracompact space