Right-angularity, flag complexes, asphericity

Details Right-angularity, flag complexes, asphericity Right-angularity, flag complexes, asphericity

2011-02-23

arxiv.org/abs/1102.4670v1

Mathematics

Geometric Topology

Scientific paper

The "polyhedral product functor" produces a space from a simplicial complex L and a collection of pairs of spaces, {(A(i),B(i))}, where i ranges over the vertex set of L. We give necessary and sufficient conditions for the resulting space to be aspherical. There are two similar constructions, each of which starts with a space X and a collection of subspaces, {X_i} and then produces a new space. We give conditions for the results of these constructions to be aspherical. All three techniques can be used to produce examples of closed aspherical manifolds.

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