dc.contributor.author | Myers, R. | |
dc.date.accessioned | 2024-01-12T17:10:09Z | |
dc.date.available | 2024-01-12T17:10:09Z | |
dc.date.issued | 2000 | |
dc.identifier | oksd_myers_compactifying_sufficiently_regular_covering_2000 | |
dc.identifier.citation | Myers, R. (2000). Compactifying sufficiently regular covering spaces of compact 3-manifolds. Proceedings of the American Mathematical Society, 128(5), pp. 1507-1513. https://doi.org/10.1090/s0002-9939-00-05109-1 | |
dc.identifier.issn | 0002-9939 | |
dc.identifier.uri | https://hdl.handle.net/11244/340113 | |
dc.description.abstract | In this paper it is proven that if the group of covering translations of the covering space of a compact, connected, P²-irreducible 3-manifold corresponding to a non-trivial, finitely-generated subgroup of its fundamental group is infinite, then either the covering space is almost compact or the subgroup is infinite cyclic and has normalizcr a non-finitely-generated subgroup of the rational numbers. In the first case additional information is obtained which is then used to relate Thurston's hyperbolization and virtual bundle conjectures to some algebraic conjectures about certain 3-manifold groups. | |
dc.format | application/pdf | |
dc.language | en_US | |
dc.publisher | American Mathematical Society (AMS) | |
dc.relation.ispartof | Proceedings of the American Mathematical Society, 128 (5) | |
dc.rights | This material has been previously published. In the Oklahoma State University Library's institutional repository this version is made available through the open access principles and the terms of agreement/consent between the author(s) and the publisher. The permission policy on the use, reproduction or distribution of the material falls under fair use for educational, scholarship, and research purposes. Contact Digital Resources and Discovery Services at lib-dls@okstate.edu or 405-744-9161 for further information. | |
dc.title | Compactifying sufficiently regular covering spaces of compact 3-manifolds | |
dc.date.updated | 2024-01-10T20:43:38Z | |
dc.note | open access status: Hybrid OA | |
osu.filename | oksd_myers_compactifying_sufficiently_regular_covering_2000.pdf | |
dc.identifier.doi | 10.1090/s0002-9939-00-05109-1 | |
dc.description.department | Mathematics | |
dc.type.genre | Article | |
dc.type.material | Text | |
dc.subject.keywords | Mathematical Physics | |
dc.subject.keywords | Numerical and Computational Mathematics | |
dc.subject.keywords | Pure Mathematics | |
dc.subject.keywords | Mathematical Sciences | |
dc.subject.keywords | Pure Mathematics | |
dc.identifier.author | ScopusID: 7403700679 (Myers, R) | |
dc.identifier.essn | 1088-6826 | |