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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Axiom of countability ： ウィキペディア英語版 Axiom of countability In mathematics, an axiom of countability is a property of certain mathematical objects (usually in a category) that asserts the existence of a countable set with certain properties. Without such an axiom, such a set might not provably exist. ==Important examples== Important countability axioms for topological spaces include:〔.〕 *sequential space: a set is open if every sequence convergent to a point in the set is eventually in the set *first-countable space: every point has a countable neighbourhood basis (local base) *second-countable space: the topology has a countable base *separable space: there exists a countable dense subspace *Lindelöf space: every open cover has a countable subcover *σ-compact space: there exists a countable cover by compact spaces 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Axiom of countability」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.