paracompact

Adjective

Meaning

paracompact (not comparable)

(mathematics, of a topological space) In which every open cover admits an open locally finite refinement.

Source: en.wiktionary.org

Related terms

paracompactness paracompactifying

Examples

A space such that every subspace of it is a paracompact space is called hereditarily paracompact. Source: Internet

Although a product of paracompact spaces need not be paracompact, the following are true: * The product of a paracompact space and a compact space is paracompact. Source: Internet

A topological space X is now said to be paracompact if every open cover has a locally finite open refinement. Source: Internet

Every compact space is Lindelöf and paracompact. Source: Internet

Every metric space is paracompact. Source: Internet

Every metrizable space is Hausdorff and paracompact (and hence normal and Tychonoff). Source: Internet

Close letter words and terms

paracolonic paracolpitis paracommissural paracompactifying paracompactness paracomplex