An Equivalent Presentation of the Bezem-Coquand-Huber Category of Cubical Sets

30 Jan 2014Andrew M. Pitts

Staton has shown that there is an equivalence between the category of presheaves on (the opposite of) finite sets and partial bijections and the category of nominal restriction sets: see [2, Exercise 9.7]. The aim here is to see that this extends to an equivalence between the category of cubical sets introduced in [1] and a category of nominal sets equipped with a "01-substitution" operation... (read more)

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