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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 Compression body ： ウィキペディア英語版 Compression body In the theory of 3-manifolds, a compression body is a kind of generalized handlebody. A compression body is either a handlebody or the result of the following construction: : Let $S$ be a compact, closed surface (not necessarily connected). Attach 1-handles to $S\; \backslash times\; ()$ along $S\; \backslash times\; \backslash$. Let $C$ be a compression body. The negative boundary of C, denoted $\backslash partial\_C$, is $S\; \backslash times\; \backslash$. (If $C$ is a handlebody then $\backslash partial\_-\; C\; =\; \backslash emptyset$.) The positive boundary of C, denoted $\backslash partial\_C$, is $\backslash partial\; C$ minus the negative boundary. There is a dual construction of compression bodies starting with a surface $S$ and attaching 2-handles to $S\; \backslash times\; \backslash$. In this case $\backslash partial\_C$ is $S\; \backslash times\; \backslash$, and $\backslash partial\_C$ is $\backslash partial\; C$ minus the positive boundary. Compression bodies often arise when manipulating Heegaard splittings. == References == * F.Bonahon, Geometric structures on 3-manifolds, Handbook of Geometric Topology, Daverman and Sher eds. North-Holland (2002). de:Henkelkörper#Kompressionskörper 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「Compression body」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.