Cubical set

In topology, a branch of mathematics, a cubical set is a set-valued contravariant functor on the category of (various) n-cubes.

Cubical sets have been often considered as an alternative to simplicial sets in combinatorial topology, including in the early work of Daniel Kan and Jean-Pierre Serre.

They have also been developed in computer science, in particular in concurrency theory and in homotopy type theory.

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