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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 Paratopological group ： ウィキペディア英語版 Paratopological group In mathematics, a paratopological group is a topological semigroup that is algebraically a group.〔Artur Hideyuki Tomita. (On sequentially compact both-sides cancellative semigroups with sequentially continuous addition. )〕 In other words, it is a group ''G'' with a topology such that the group's product operation is a continuous function from ''G'' × ''G'' to ''G''. This differs from the definition of a topological group in that the group inverse is not required to be continuous. As with topological groups, some authors require the topology to be Hausdorff.〔A. V. Arhangelskii. (Topological spaces connected to algebraic structures )〕 Compact paratopological groups are automatically topological groups. == 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「Paratopological group」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.