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.
Author: | Michael Joswig, Frank H. Lutz |
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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 |