Triangulated Manifolds with Few Vertices: Centrally Symmetric Spheres and Products of Spheres

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The aim of this paper is to give a survey of the known results concerning centrally symmetric polytopes, spheres, and manifolds. We further enumerate nearly neighborly centrally symmetric spheres and centrally symmetric products of spheres with dihedral or cyclic symmetry on few vertices, and we present an infinite series of vertex-transitive nearly neighborly centrally symmetric 3-spheres.
26 pages, 8 figures

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Metric Geometry, Combinatorics, 52B05; 52B12; 57Q15

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http://salesiana.dossiersoluciones.com/handle/123456789/70972

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404465
 http://arxiv.org/abs/math/0404465

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arXiv