Relatively compact subspace

（重定向自Relatively compact set）

In mathematics, a relatively compact subspace (or relatively compact subset, or precompact) Y of a topological space X is a subset whose closure is compact.

Since closed subsets of a compact space are compact, every subset of a compact space is relatively compact. In the case of a metric topology, or more generally when sequences may be used to test for compactness, the criterion for relative compactness becomes that any sequence in Y has a subsequence convergent in X.

单词	Relatively compact set
释义	Relatively compact set 英语百科 Relatively compact subspace （重定向自Relatively compact set） In mathematics, a relatively compact subspace (or relatively compact subset, or precompact) Y of a topological space X is a subset whose closure is compact. Since closed subsets of a compact space are compact, every subset of a compact space is relatively compact. In the case of a metric topology, or more generally when sequences may be used to test for compactness, the criterion for relative compactness becomes that any sequence in Y has a subsequence convergent in X.
随便看	uniformly distributed function的意思 uniformly distributed load的意思 uniformly distributed loads的意思 uniformly distributed random variable的意思 uniformly distributed winding的意思 uniformly distributive coupler的意思 uniformly drawn的意思 uniformly dyed fabric的意思 uniformly dyeing的意思 uniformly elliptic equation的意思 uniformly elliptic operator的意思 uniformly embedded的意思 uniformly enriched core的意思 Uniformly equicontinuous的意思 uniformly equicontinuous set的意思 uniformly equivalent distance的意思 uniformly equivalent distances的意思 uniformly equivalent function的意思 uniformly equivalent metric的意思 uniformly equivalent space的意思 uniformly feasible direction的意思 uniformly finite subspace的意思 uniformly flowing pastic pastic substance的意思 uniformly hyperbolic的意思 uniformly increasing deformation的意思