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One-Point Suspensions and Wreath Products of Polytopes and Spheres

Please always quote using this URN: urn:nbn:de:0297-zib-7836
  • It is known that the suspension of a simplicial complex can be realized with only one additional point. Suitable iterations of this construction generate highly symmetric simplicial complexes with a various interesting combinatorial and topological properties. In particular, infinitely many non-PL spheres as well as contactible simplicial complexes with a vertex-transitive group of automorphisms cab be contained in this way.

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Metadaten
Author:Michael Joswig, Frank H. Lutz
Document Type:ZIB-Report
Tag:Hirsch conjecture; Z-acyclic complexes; dual wedge; non-PL spheres; shellability; suspension; wreath product
MSC-Classification:06-XX ORDER, LATTICES, ORDERED ALGEBRAIC STRUCTURES [See also 18B35] / 06Axx Ordered sets / 06A07 Combinatorics of partially ordered sets
52-XX CONVEX AND DISCRETE GEOMETRY / 52Bxx Polytopes and polyhedra / 52B15 Symmetry properties of polytopes
55-XX ALGEBRAIC TOPOLOGY / 55Uxx Applied homological algebra and category theory [See also 18Gxx] / 55U05 Abstract complexes
57-XX MANIFOLDS AND CELL COMPLEXES (For complex manifolds, see 32Qxx) / 57Qxx PL-topology / 57Q15 Triangulating manifolds
Date of first Publication:2004/03/30
Series (Serial Number):ZIB-Report (04-08)
ZIB-Reportnumber:04-08
Published in:Appeared in: J. Comb. Theory, Ser. A 110 (2005) 193-216
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