Non-zero degree maps between closed orientable three-manifolds

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dc.creatorDerbez, P.
dc.date2005-01-09
dc.date.accessioned2026-07-07T05:15:55Z
dc.date.available2026-07-07T05:15:55Z
dc.descriptionThis paper adresses the following problem: Given a closed orientable three-manifold M, are there at most finitely many closed orientable three-manifolds 1-dominated by M? We solve this question for the class of closed orientable graph manifolds. More presisely the main result of this paper asserts that any closed orientable graph manifold 1-dominates at most finitely many orientable closed three-manifolds satisfying the Poincare-Thurston Geometrization Conjecture. To prove this result we state a more general theorem for Haken manifolds which says that any closed orientable three-manifold M 1-dominates at most finitely many Haken manifolds whose Gromov simplicial volume is sufficiently close to that of M.
dc.identifierhttps://arxiv.org/abs/math/0501124
dc.identifierhttp://arxiv.org/abs/math/0501124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73801
dc.subjectGeometric Topology
dc.subject57M50, 51H20
dc.titleNon-zero degree maps between closed orientable three-manifolds
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