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Decision problems for
$3$–manifolds and their fundamental groups
Matthias Aschenbrenner, Stefan Friedl and Henry Wilton |
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Geometry & Topology Monographs 19 (2015) 201–236
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arXiv: 1405.6274 |
Abstract |
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We survey the status of some decision problems for –manifolds and their fundamental groups. This includes the classical decision problems for finitely presented groups (word problem, conjugacy problem, isomorphism problem), and also the homeomorphism problem for –manifolds and the membership problem for –manifold groups. |
Keywords
3-manifolds, fundamental groups, decision problems
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Mathematical Subject Classification 2010
Primary: 57M05
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References |
Publication
Received: 16 February 2015
Accepted: 16 February 2015
Published: 29 December 2015
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Authors |
| Matthias Aschenbrenner | |
| University of California Los Angeles, CA 90095 USA |
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| Stefan Friedl | |
| Fakultät für Mathematik Universität Regensburg D-93053 Regensburg Germany |
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| Henry Wilton | |
| Department of Pure Mathematics and
Mathematical Statistics University of Cambridge Wilberforce Road Cambridge CB3 0WB UK |
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