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单词 Paracompact Space
释义

Paracompact Space

A paracompact space is a Hausdorff Space such that every open Cover has a Locally Finite open Refinement. Paracompactness is a very common property that TopologicalSpaces satisfy. Paracompactness is similar to the compactness property, but generalized for slightly``bigger'' Spaces. All Manifolds (e.g, second countable and Hausdorff) are paracompact.

See also Hausdorff Space, Locally Finite Space, Manifold,Topological Space
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更新时间:2025/2/22 2:18:38