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arXiv · 2505.13850

Involutive Weak Cubical $\omega$-categories

Paratat Bejrakarbum·Paolo Bertozzini·Supaporn Theesoongnern
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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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Paratat Bejrakarbum, Paolo Bertozzini, Supaporn Theesoongnern. 2025-05-20. Involutive Weak Cubical $\omega$-categories. https://arxiv.org/abs/2505.13850

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