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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 Branched surface ： ウィキペディア英語版 Branched surface In mathematics, a branched surface is a generazliation of both surfaces and train tracks. ==Definition== A surface is a space that looks topologically (i.e., up to homeomorphism) like ℝ². Consider, however, the space obtained by taking the quotient of two copies A,B of ℝ² under the identification of a closed half-space of each with a closed half-space of the other. This will be a surface except along a single line. Now, pick another copy C of ℝ and glue it and A together along halfspaces so that the singular line of this gluing is transverse in A to the previous singular line. Call this complicated space K. A branched surface is a space that is locally modeled on K.〔Li, Tao. "Laminar Branched Surfaces in 3-manifolds." Geometry and Topology 6.153 (2002): 194.〕 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「Branched surface」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.