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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

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.

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