翻訳と辞書 |
Collectionwise Hausdorff space : ウィキペディア英語版 | Collectionwise Hausdorff space In mathematics, in the field of topology, a topological space is said to be collectionwise Hausdorff if given any closed discrete collection of points in the topological space, there are pairwise disjoint open sets containing the points.〔FD Tall, (The density topology ), Pacific Journal of Mathematics, 1976 〕 A ''closed discrete'' set ''S'' of a topology ''X'' is one where every point of ''X'' has a neighborhood that intersects at most one point from ''S''. Every T1 space which is collectionwise Hausdorff is also Hausdorff. Metrizable spaces are collectionwise normal spaces and are hence, in particular, collectionwise Hausdorff. == References ==
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「Collectionwise Hausdorff space」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.
|
|