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

Please always quote using this URN: urn:nbn:de:0297-zib-7863
  • 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.

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Metadaten
Author:Frank H. Lutz
Document Type:ZIB-Report
Tag:centrally symmetric polytopes; combinatorial manifolds; crosspolytope; products of spheres
MSC-Classification:52-XX CONVEX AND DISCRETE GEOMETRY / 52Bxx Polytopes and polyhedra / 52B05 Combinatorial properties (number of faces, shortest paths, etc.) [See also 05Cxx]
52-XX CONVEX AND DISCRETE GEOMETRY / 52Bxx Polytopes and polyhedra / 52B12 Special polytopes (linear programming, centrally symmetric, etc.)
57-XX MANIFOLDS AND CELL COMPLEXES (For complex manifolds, see 32Qxx) / 57Qxx PL-topology / 57Q15 Triangulating manifolds
Date of first Publication:2004/04/26
Series (Serial Number):ZIB-Report (04-11)
ZIB-Reportnumber:04-11
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