Generalized Hopfian property, minimal Haken manifold, and J. Simon's conjecture for 3-manifold groups

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dc.creatorReid, Alan W.
dc.creatorWang, Shicheng
dc.creatorZhou, Qing
dc.date2000-02-01
dc.date.accessioned2026-07-07T04:33:32Z
dc.date.available2026-07-07T04:33:32Z
dc.descriptionWe address a conjecture that $π_1$-surjective maps between closed aspherical 3-manifolds having the same rank on $π_1$ must be of non-zero degree. The conjecture is proved for Seifert manifolds, which is used in constructing the first known example of minimum Haken manifold. Another motivation is to study epimorphisms of 3-manifold groups via maps of non-zero degree between 3-manifolds.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0002003
dc.identifierhttp://arxiv.org/abs/math/0002003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58606
dc.subjectGeometric Topology
dc.subject57M
dc.titleGeneralized Hopfian property, minimal Haken manifold, and J. Simon's conjecture for 3-manifold groups
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