2012/09/21 by Raeyong Kim, Kim, Raeyong
Computer Science · Mathematics · #20J05 #55R35 (Primary) 57P10 #57S99 (Secondary) #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT #math.GR #msc:20J05 #msc:55R35 #msc:57P10 #msc:57S99
paper · pdf · doi:10.48550/arxiv.1209.4846
8 pages
arxiv created 2012/09/21 · openalex publication_date 2012/09/21 · arxiv updated 2012/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that every finite connected simplicial complex is homotopy equivalent to the quotient of a contractible manifold by proper actions of a virtually torsion-free group. As a corollary, we obtain that every finite connected simplicial complex is homotopy equivalent to the classifying space for proper bundles of some virtual Poincaré duality group.