3 papers
math.AT2020
Two-dimensional Golod complexes
Kouyemon Iriye, Daisuke Kishimoto
We characterize two-dimensional Golod complexes combinatorially by vertex-breakability and topologically by the fat-wedge filtration of a polyhedral product. Applying the character…
math.AT2020
Characterisation of polyhedral products with finite generalised Postnikov decomposition
Kouyemon Iriye, Daisuke Kishimoto, Ran Levi
A generalised Postnikov tower for a space is a tower of principal fibrations with fibres generalised Eilenberg-MacLane spaces, whose inverse limit is weakly homotopy equivalent…
math.AT2018
Whitehead products in moment-angle complexes
Kouyemon Iriye, Daisuke Kishimoto
In toric topology, to a simplicial complex with vertices, one associates two spaces, the moment-angle complex and the Davis-Januszkiewicz space . Thes…