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Two-dimensional Golod complexes
Published 14 Oct 2020 in math.AT and math.CO | (2010.06753v1)
Abstract: We characterize two-dimensional Golod complexes combinatorially by vertex-breakability and topologically by the fat-wedge 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.
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