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.

引用

页码：1555 / 1600

页数：46

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