Boundaries of Croke-Kleiner-admissible groups and equivariant cell-like equivalence

DOI10.1112/jtopol/jtu007zbMath1348.57003arXiv1305.5186OpenAlexW3098149518MaRDI QIDQ2921100

Craig R. Guilbault, Christopher Mooney

Publication date: 30 September 2014

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.5186

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Shape theory in general topology (54C56)

Related Items (2)

Croke-Kleiner admissible groups: property (QT) and quasiconvexity ⋮ Nonplanar graphs in boundaries of CAT(0) groups

Cites Work

• Erratic behavior of CAT(0) geodesics under \(G\)-equivariant quasi-isometries.
• Cell-like equivalences and boundaries of \(CAT(0)\) groups
• Asymptotic geometry in products of Hadamard spaces with rank one isometries.
• Examples of non-rigid \(\text{CAT}(0)\) groups from the category of knot groups.
• Boundaries of \(\text{CAT}(0)\) groups of the form \(\Gamma=G\times H\)
• Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
• A cut point theorem for CAT(0) groups.
• Cocompact CAT(0) spaces are almost geodesically complete
• The geodesic flow of a nonpositively curved graph manifold.
• Local homology properties of boundaries of groups
• Spaces with nonpositive curvature and their ideal boundaries
• Hadamard spaces with isolated flats. (With an appendix written jointly with Mohamad Hindawi).
• A note on curvature and fundamental group
• All CAT(0) boundaries of a group of the form H×K are CE equivalent
• A CAT(0) group with uncountably many distinct boundaries
• Boundaries of nonpositively curved groups of the form G × ℤⁿ
• Realizing cell-like maps in Euclidean space

This page was built for publication: Boundaries of Croke-Kleiner-admissible groups and equivariant cell-like equivalence