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arXiv · 1409.4966

Transitivity is not a (big) restriction on homotopy types

Michal Adamaszek
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Abstract

For every simplicial complex K there exists a vertex-transitive simplicial complex homotopy equivalent to a wedge of copies of K with some copies of the circle. It follows that every simplicial complex can occur as a homotopy wedge summand in some vertex-transitive complex. One can even demand that the vertex-transitive complex is the clique complex of a Cayley graph or that it is facet-transitive.

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Michal Adamaszek. 2014-09-17. Transitivity is not a (big) restriction on homotopy types. https://arxiv.org/abs/1409.4966

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