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One-point suspensions and wreath products of polytopes and spheres
Authors:Michael Joswig  Frank H Lutz
Institution:Institut für Mathematik, MA 6-2, TU Berlin, 10623 Berlin, Germany
Abstract: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.
Keywords:Suspension  Wreath product  Vertex transitive non-PL sphere
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