Combination of classifying spaces for proper actions

2013/10/02 by Alexandre Martin, Martin, Alexandre
Computer Science · Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.GR #math.GT #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1310.0636

arXiv admin note: text overlap with arXiv:1306.6847

arxiv created 2013/10/02 · openalex publication_date 2013/10/02 · arxiv updated 2013/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a group action on a simplicial complex such that each simplex stabiliser admits a cocompact model of classifying space for proper actions, we give conditions implying the existence of a cocompact model of classifying space for proper actions for the whole group. This is used to generalise previous combination results for boundaries of groups and hyperbolic groups.

Citations

• Complexes of groups and geometric small cancellation over graphs of groups

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