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Aspherical manifolds
that cannot be triangulated
Michael W Davis, Jim Fowler and Jean-François Lafont |
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Algebraic & Geometric Topology 14 (2014) 795–803
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Abstract |
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By a result of Manolescu [arXiv:1303.2354v2] there are topological closed –manifolds that cannot be triangulated for each . We show here that for we can choose such manifolds to be aspherical. |
Keywords
aspherical manifold, PL manifold, homology sphere, homology
manifold, hyperbolization, triangulation, Rokhlin invariant
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Mathematical Subject Classification 2010
Primary: 57Q15
Secondary: 20F65, 57Q25, 57R58
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References |
Publication
Received: 12 May 2013
Revised: 25 August 2013
Accepted: 6 September 2013
Published: 30 January 2014
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Authors |
| Michael W Davis | |
| Department of Mathematics The Ohio State University 231 West 18th Ave. Columbus, OH 43210-1174 USA |
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| http://www.math.osu.edu/~davis.12/ | |
| Jim Fowler | |
| Department of Mathematics The Ohio State University 231 West 18th Ave. Columbus, OH 43210-1174 USA |
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| http://www.math.osu.edu/~fowler.291/ | |
| Jean-François Lafont | |
| Department of Mathematics The Ohio State University 231 West 18th Ave. Columbus, OH 43210-1174 USA |
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| http://www.math.osu.edu/~lafont.1/ | |
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