The complex of end reductions of a contractible open 3-manifold: constructing 1-dimensional examples
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Publication:2493418
zbMATH Open1100.57003arXivmath/0405380MaRDI QIDQ2493418
Author name not available (Why is that?)
Publication date: 12 June 2006
Published in: (Search for Journal in Brave)
Abstract: Given an irreducible contractible open 3-manifold W which is not homeomorphic to R^3, there is an associated simplicial complex S(W), the complex of end reductions of W. Whenever W covers a 3-manifold M one has that the fundamental group of M is isomorphic to a subgroup of the group Aut(S(W)) of simplicial automorphisms of W. In this paper we give a new method for constructing examples W with S(W) isomorphic to a triangulation of R. It follows that any 3-manifold M covered by W must have infinite cyclic fundamental group. We also give a complete isotopy classification of the end reductions of W.
Full work available at URL: https://arxiv.org/abs/math/0405380
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