One-Point Suspensions and Wreath Products of Polytopes and Spheres

Details One-Point Suspensions and Wreath Products of Polytopes and Spheres One-Point Suspensions and Wreath Products of Polytopes and Spheres

2004-03-29

arxiv.org/abs/math/0403494v1

Mathematics

Combinatorics

17 pages, 8 figures

Scientific paper

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 various interesting combinatorial and topological properties. In particular, infinitely many non-PL spheres as well as contractible simplicial complexes with a vertex-transitive group of automorphisms can be obtained in this way.

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