Dismantlability of weakly systolic complexes and applications

DOI10.1090/S0002-9947-2014-06137-0zbMath1376.20047arXiv0910.5444OpenAlexW2131329426MaRDI QIDQ5496629

Victor Chepoi, Damian Osajda

Publication date: 2 February 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.5444

zbMATH Keywords

conjugacy classesfinite groupsclassifying spacesweakly systolic complexes

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Relations of low-dimensional topology with graph theory (57M15) Distance in graphs (05C12) Hyperbolic groups and nonpositively curved groups (20F67)

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Cites Work

• Split injectivity of the Baum-Connes assembly map
• Boundaries of systolic groups.
• Simplicial nonpositive curvature
• \(\underline EG\) for systolic groups.
• On local convexity in graphs
• On bridged graphs and cop-win graphs
• On diameters and radii of bridged graphs
• A Helly theorem in weakly modular space
• On isometric subgraphs of infinite bridged graphs and geodesic convexity
• Bridged graphs are cop-win graphs: An algorithmic proof
• Decomposition and \(l_1\)-embedding of weakly median graphs
• Combinatorial group theory.
• Fixed finite subgraph theorems in infinite weakly modular graphs
• A construction of hyperbolic Coxeter groups.
• On infinite bridged graphs and strongly dismantlable graphs
• Graphs of some CAT(0) complexes
• Connectedness at infinity of systolic complexes and groups.
• Linear colorings of simplicial complexes and collapsing
• Contractibility of the Kakimizu complex and symmetric Seifert surfaces
• The fixed point theorem for simplicial nonpositive curvature
• Conditions for invariance of set diameters under d-convexification in a graph
• Algorithmic Aspects of Vertex Elimination on Graphs
• A Construction of Locally Homogeneous Graphs
• Graphs without isometric rays and invariant subgraph properties, I
• On asymptotically hereditarily aspherical groups
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