Involutive Weak Cubical $ω$-categories

Published 20 May 2025 in math.CT | (2505.13850v1)

Abstract: We investigate the notion of involutive weak cubical $\omega$-categories via Penon's approach: as algebras for the monad induced by the free involutive strict $\omega$-category functor on cubical $\omega$-sets. A few examples of involutive weak cubical $\omega$-categories are provided.

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