Strongly paracompact space
From Topospaces
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
This is a variation of paracompactness. View other variations of paracompactness
Contents
Definition
A topological space is said to be strongly paracompact if it satisfies the following condition: every open cover has a star-finite open refinement.
Formalisms
Refinement formalism
In the refinement formalism, the property of being strongly paracompact has the following refinement formal expression:
Open Star-finite open
In other words, every open cover can be refined to a star-finite open cover.