Algebraic & Geometric Topology

Aspherical manifolds that cannot be triangulated

Abstract

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

Article information

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

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

https://projecteuclid.org/euclid.agt/1513715847

Digital Object Identifier
doi:10.2140/agt.2014.14.795

Mathematical Reviews number (MathSciNet)
MR3159970

Zentralblatt MATH identifier
1288.57023

Citation

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. https://projecteuclid.org/euclid.agt/1513715847

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