Non-existence of 6-dimensional pseudomanifolds with complementarity

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dc.creatorBagchi, Bhaskar
dc.creatorDatta, Basudeb
dc.date2004-04-12
dc.date.accessioned2026-07-07T05:07:22Z
dc.date.available2026-07-07T05:07:22Z
dc.descriptionIn a previous paper the second author showed that if $M$ is a pseudomanifold with complementarity other than the 6-vertex real projective plane and the 9-vertex complex projective plane, then $M$ must have dimension $\geq 6$, and - in case of equality - $M$ must have exactly 12 vertices. In this paper we prove that such a 6-dimensional pseudomanifold does not exist. On the way to proving our main result we also prove that all combinatorial triangulations of the 4-sphere with at most 10 vertices are combinatorial 4-spheres.
dc.description11 pages. To appear in Advances in Geometry
dc.identifierhttps://arxiv.org/abs/math/0404225
dc.identifierhttp://arxiv.org/abs/math/0404225
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70837
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject57Q15; 57Q25; 57R05
dc.titleNon-existence of 6-dimensional pseudomanifolds with complementarity
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