paracompactness

Noun

Meaning

paracompactness (uncountable)

The state or condition of being paracompact.

Examples

In fact, for Hausdorff spaces, paracompactness and full normality are equivalent. Source: Internet

There are many situations where another condition of topological spaces (such as paracompactness or local compactness ) will imply regularity if preregularity is satisfied. Source: Internet

Paracompactness has little to do with the notion of compactness, but rather more to do with breaking up topological space entities into manageable pieces. Source: Internet

Properties Paracompactness is weakly hereditary, i.e. every closed subspace of a paracompact space is paracompact. Source: Internet

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