Tits rigidity of CAT(0) group boundaries

DOI10.2140/AGT.2015.15.429zbMath1408.53055arXiv1403.3954OpenAlexW3123583046MaRDI QIDQ2340085

Eric L. Swenson, Khek Chao

Publication date: 16 April 2015

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3954

zbMATH Keywords

CAT(0)

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

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• Boundaries and JSJ decompositions of \(\text{CAT}(0)\)-groups.
• Shrinking cell-like decompositions of manifolds. Codimension three
• A cut point theorem for CAT(0) groups.
• Spaces with nonpositive curvature and their ideal boundaries
• CAT(0) spaces with boundary the join of two Cantor sets.
• CAT(0) groups with specified boundary.
• A ‘transversal’ for minimal invariant sets in the boundary of a CAT(0) group
• Dynamics of the action of a \(\text{CAT}(0)\) group on the boundary

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