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Tits rigidity of $\mathrm{CAT}(0)$ group boundaries

Khek Lun Harold Chao and Eric Swenson

Algebraic & Geometric Topology 15 (2015) 429–444
Abstract

We define Tits rigidity for visual boundaries of CAT(0) groups, and prove that the join of two Cantor sets and its suspension are Tits rigid.

Keywords
CAT(0)
Mathematical Subject Classification 2010
Primary: 53C23
Secondary: 20F67, 51F99
References
Publication
Received: 13 March 2014
Revised: 17 July 2014
Accepted: 19 August 2014
Published: 23 March 2015
Authors
Khek Lun Harold Chao
Mathematical Sciences Center
Tsinghua University
Beijing 100084
China
Eric Swenson
Mathematics Department
Brigham Young University
Provo, UT 84602
USA