2020
DOI: 10.48550/arxiv.2012.02060
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On the multisimplicial cup product

Abstract: We define a cup product on the cochain complex of a multisimplicial set, that is compatible with the classical cup product on the cochain complex of the diagonal simplicial set via the Eilenberg-Zilber map. This helps to speed up cochain level computations for multisimplicial complexes.

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