# Golodness and polyhedral products of simplicial complexes with minimal Taylor resolutions

@article{Iriye2018GolodnessAP, title={Golodness and polyhedral products of simplicial complexes with minimal Taylor resolutions}, author={Kouyemon Iriye and Daisuke Kishimoto}, journal={Homology, Homotopy and Applications}, year={2018}, volume={20}, pages={69-78} }

Let K be a simplicial complex such that the Taylor resolution for its Stanley-Reisner ring is minimal. We prove that the following conditions are equivalent: (1) K is Golod; (2) any two minimal non-faces of K are not disjoint; (3) the moment-angle complex for K is homotopy equivalent to a wedge of spheres; (4) the decomposition of the suspension of the polyhedral product ZK(CX,X) due to Bahri, Bendersky, Cohen and Gitler desuspends.

## 6 Citations

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