#### Volume 14, issue 2 (2014)

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Aspherical manifolds that cannot be triangulated

### Michael W Davis, Jim Fowler and Jean-François Lafont

Algebraic & Geometric Topology 14 (2014) 795–803
##### Abstract

By a result of Manolescu [arXiv:1303.2354v2] there are topological closed $n$–manifolds that cannot be triangulated for each $n\ge 5$. We show here that for $n\ge 6$ we can choose such manifolds to be aspherical.

##### Keywords
aspherical manifold, PL manifold, homology sphere, homology manifold, hyperbolization, triangulation, Rokhlin invariant
##### Mathematical Subject Classification 2010
Primary: 57Q15
Secondary: 20F65, 57Q25, 57R58