单词 | Paracompact Space |
释义 | Paracompact SpaceA 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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