翻訳と辞書 Words near each other ・ Gromit (disambiguation) ・ Gromit Unleashed ・ Gromki, Bartoszyce County ・ Gromki, Kętrzyn County ・ Grommet ・ Grommet (sportsperson) ・ Gromnik, Lesser Poland Voivodeship ・ Gromnik, West Pomeranian Voivodeship ・ Gromo ・ Gromoboi (ship) ・ Gromobój (armoured train) ・ Gromore, Washington ・ GROMOS ・ Gromoty ・ Gromov ・ Gromov boundary ・ Gromov Flight Research Institute ・ Gromov norm ・ Gromov Nunataks ・ Gromov product ・ Gromov's compactness theorem ・ Gromov's compactness theorem (geometry) ・ Gromov's compactness theorem (topology) ・ Gromov's inequality ・ Gromov's inequality for complex projective space ・ Gromov's systolic inequality for essential manifolds ・ Gromov's theorem ・ Gromov's theorem on groups of polynomial growth ・ Gromovo ・ Gromov–Hausdorff convergence Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Gromov boundary ： ウィキペディア英語版 Gromov boundary In mathematics, the Gromov boundary of a δ-hyperbolic space (especially a hyperbolic group) is an abstract concept generalizing the boundary sphere of hyperbolic space. Conceptually, the Gromov boundary is the set of all points at infinity. For instance, the Gromov boundary of the real line is two points, corresponding to positive and negative infinity. ==Definition== There are several equivalent definitions of the Gromov boundary. One of the most common uses equivalence classes of geodesic rays. 〔Kapovich, Ilya, and Nadia Benakli. "Boundaries of hyperbolic groups." Combinatorial and geometric group theory (New York, 2000/Hoboken, NJ, 2001) 296 (2002): 39-93.〕 Pick some point $O$ of a hyperbolic metric space $X$ to be the origin. A geodesic ray is a path given by an isometry $\backslash gamma:$. The Gromov boundary of a hyperbolic metric space $X$ is the set $\backslash partial\; X=\backslash$. 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「Gromov boundary」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.