Every finite complex is the classifying space for proper bundles of a virtual Poincar\'e duality group
Algebraic Topology
2012-09-24 v1 Group Theory
Abstract
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 Poincar\'e duality group.
Keywords
Cite
@article{arxiv.1209.4846,
title = {Every finite complex is the classifying space for proper bundles of a virtual Poincar\'e duality group},
author = {Raeyong Kim},
journal= {arXiv preprint arXiv:1209.4846},
year = {2012}
}
Comments
8 pages