On the multisimplicial cup product
Andrea Pizzi, Paolo Salvatore · arXiv (Cornell University) · 2020
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.