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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…