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Tree-graded space : ウィキペディア英語版 | Tree-graded space A geodesic metric space is called ''tree-graded space'', with respect to a collection of connected proper subsets called ''pieces'', if any two distinct pieces intersect by at most one point, and every non-trivial simple geodesic triangle of is contained in one of the pieces. Thus, for pieces of bounded diameter, tree-graded spaces behave like real trees in their coarse geometry (in the sense of Gromov) while allowing non-tree-like behavior within the pieces. Tree-graded spaces were introduced by in their study of the asymptotic cones of hyperbolic groups. ==References==
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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「Tree-graded space」の詳細全文を読む
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