Two-dimensional Golod complexes
Kouyemon Iriye, Daisuke Kishimoto · Homology Homotopy and Applications · 2021
We characterize two-dimensional Golod complexes combinatorially by vertex-breakability and topologically by the fatwedge filtration of a polyhedral product.Applying the characterization, we consider a difference between Golodness over fields and rings, which enables us to give a two-dimensional simple Golod complex over any field such that the corresponding moment-angle complex is not a suspension.