A METRIZABLE TOPOLOGY ON THE CONTRACTING BOUNDARY OF A GROUP

被引：19
|
作者：
Cashen, Christopher H. [1 ]
Mackay, John M.
机构：
[1] Univ Vienna, Fac Math, Oskar Morgenstern pl 1, A-1090 Vienna, Austria
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 372卷 / 03期
基金：
奥地利科学基金会; 英国工程与自然科学研究理事会; 美国国家科学基金会;
关键词：
Contracting boundary; Morse boundary; boundary at infinity; contracting geodesic; divagation; QUASI-GEODESICS; STABILITY; GEOMETRY; PROJECTIONS; DIVERGENCE; SPACES;
D O I：
10.1090/tran/7544
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The 'contracting boundary' of a proper geodesic metric space consists of equivalence classes of geodesic rays that behave like rays in a hyperbolic space. We introduce a geometrically relevant, quasi-isometry invariant topology on the contracting boundary. When the space is the Cayley graph of a finitely generated group we show that our new topology is metrizable.
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页码：1555 / 1600
页数：46
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