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• W2949867369 abstract "We introduce a concept of tree-graded metric space and we use it to show quasi-isometry invariance of certain classes of relatively hyperbolic groups, to obtain a characterization of relatively hyperbolic groups in terms of their asymptotic cones, to find geometric properties of Cayley graphs of relatively hyperbolic groups, and to construct the first example of finitely generated group with a continuum of non-$pi_1$-equivalent asymptotic cones. Note that by a result of Kramer, Shelah, Tent and Thomas, continuum is the maximal possible number of different asymptotic cones of a finitely generated group, provided that the Continuum Hypothesis is true." @default.
• W2949867369 created "2019-06-27" @default.
• W2949867369 creator A5059349783 @default.
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• W2949867369 date "2004-05-03" @default.
• W2949867369 modified "2023-09-27" @default.
• W2949867369 title "Tree-graded spaces and asymptotic cones of groups" @default.
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