Algebraic & Geometric Topology

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

Khek Chao and Eric Swenson

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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.

Article information

Source
Algebr. Geom. Topol., Volume 15, Number 1 (2015), 429-444.

Dates
Received: 13 March 2014
Revised: 17 July 2014
Accepted: 19 August 2014
First available in Project Euclid: 16 November 2017

Permanent link to this document
https://projecteuclid.org/euclid.agt/1510840918

Digital Object Identifier
doi:10.2140/agt.2015.15.429

Mathematical Reviews number (MathSciNet)
MR3325743

Zentralblatt MATH identifier
06425409

Subjects
Primary: 53C23: Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces
Secondary: 20F67: Hyperbolic groups and nonpositively curved groups 51F99: None of the above, but in this section

Keywords
CAT(0)

Citation

Chao, Khek; Swenson, Eric. Tits rigidity of $\mathrm{CAT}(0)$ group boundaries. Algebr. Geom. Topol. 15 (2015), no. 1, 429--444. doi:10.2140/agt.2015.15.429. https://projecteuclid.org/euclid.agt/1510840918


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