Algebraic & Geometric Topology

Aspherical manifolds that cannot be triangulated

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

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By a result of Manolescu [arXiv:1303.2354v2] there are topological closed n–manifolds that cannot be triangulated for each n5. We show here that for n6 we can choose such manifolds to be aspherical.

Article information

Algebr. Geom. Topol., Volume 14, Number 2 (2014), 795-803.

Received: 12 May 2013
Revised: 25 August 2013
Accepted: 6 September 2013
First available in Project Euclid: 19 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57Q15: Triangulating manifolds
Secondary: 20F65: Geometric group theory [See also 05C25, 20E08, 57Mxx] 57Q25: Comparison of PL-structures: classification, Hauptvermutung 57R58: Floer homology

aspherical manifold PL manifold homology sphere homology manifold hyperbolization triangulation Rokhlin invariant


Davis, Michael W; Fowler, Jim; Lafont, Jean-François. Aspherical manifolds that cannot be triangulated. Algebr. Geom. Topol. 14 (2014), no. 2, 795--803. doi:10.2140/agt.2014.14.795.

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