Non-orientable 3-manifolds of small complexity

dc.creatorAmendola, Gennaro
dc.creatorMartelli, Bruno
dc.date2002-11-05
dc.date2003-12-15
dc.date.accessioned2026-07-07T04:52:41Z
dc.date.available2026-07-07T04:52:41Z
dc.descriptionWe classify all closed non-orientable P2-irreducible 3-manifolds having complexity up to 6 and we describe some having complexity 7. We show in particular that there is no such manifold with complexity less than 6, and that those having complexity 6 are precisely the 4 flat non-orientable ones and the filling of the Gieseking manifold, which is of type Sol. The manifolds having complexity 7 we describe are Seifert manifolds of type H2 x S1 and a manifold of type Sol.
dc.description27 pages, 12 figures. Two mistakes contained in the previous version are fixed: there is a Sol manifold with complexity 6, and the examples with complexty 7 are Sol and H2xS1 (see the abstract)
dc.identifierhttps://arxiv.org/abs/math/0211092
dc.identifierhttp://arxiv.org/abs/math/0211092
dc.identifierTopology Appl. 133 (2003), 157-178
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65557
dc.subjectGeometric Topology
dc.subject57M27; 57M20; 57M50
dc.titleNon-orientable 3-manifolds of small complexity
dc.typetext

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