A CAT(0) group with uncountably many distinct boundaries

DOI10.1515/jgth.2005.8.2.229zbMath1079.20061OpenAlexW1994127322MaRDI QIDQ4669781

Julia M. Wilson

Publication date: 15 April 2005

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth.2005.8.2.229

zbMATH Keywords

boundariesCAT(0) spacesgeometric actionsCAT(0) groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (16)

Nonpositively curved 2-complexes with isolated flats. ⋮ Geometry of right-angled Coxeter groups on the Croke-Kleiner spaces ⋮ An introduction to right-angled Artin groups. ⋮ Hadamard spaces with isolated flats. (With an appendix written jointly with Mohamad Hindawi). ⋮ Boundaries of Croke-Kleiner-admissible groups and equivariant cell-like equivalence ⋮ On equivariant homeomorphisms of boundaries of CAT(0) groups and Coxeter groups ⋮ Homotopy equivalent boundaries of cube complexes ⋮ Ends, Shapes, and Boundaries in Manifold Topology and Geometric Group Theory ⋮ Geometric structures in group theory. Abstracts from the workshop held February 27 -- March 5, 2022 ⋮ Right-angled Artin group boundaries ⋮ Generalizing the Croke-Kleiner construction ⋮ Contracting boundaries of CAT(0) spaces ⋮ Cell-like equivalences and boundaries of \(CAT(0)\) groups ⋮ Nonplanar graphs in boundaries of CAT(0) groups ⋮ Examples of non-rigid \(\text{CAT}(0)\) groups from the category of knot groups. ⋮ Actions of right-angled Coxeter groups on the Croke-Kleiner spaces

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