ハイネ・ボレルの被覆定理
1. Heine–Borel theoremIn the topology of metric spaces the Heine–Borel theorem, named after Eduard Heine and Émile Borel, states: For a subset S of Euclidean space R, the following two statements are equivalent: S is closed and bounded every open cover of S has a finite subcover, that is, S is compact. In the context of real analysis, the former property is sometimes used as the defining property of compactness.
Read “Heine–Borel theorem” on English Wikipedia
Read “ハイネ・ボレルの被覆定理” on Japanese Wikipedia
Read “Heine–Borel theorem” on DBpedia
Read “Heine–Borel theorem” on English Wikipedia
Read “ハイネ・ボレルの被覆定理” on Japanese Wikipedia
Read “Heine–Borel theorem” on DBpedia
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