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arXiv · 1209.4846

Every finite complex is the classifying space for proper bundles of a virtual Poincaré duality group

Raeyong Kim
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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 Poincaré duality group.

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Raeyong Kim. 2012-09-21. Every finite complex is the classifying space for proper bundles of a virtual Poincaré duality group. https://arxiv.org/abs/1209.4846

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