Involutive Weak Cubical $\omega$-categories

Paratat Bejrakarbum; Paolo Bertozzini; Supaporn Theesoongnern

Involutive Weak Cubical $\omega$-categories

Category Theory 2025-08-28 v1

Authors: Paratat Bejrakarbum , Paolo Bertozzini , Supaporn Theesoongnern

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.

Keywords

involutive weak cubical $\omega$-categories Penon's approach monad free functor

Cite

@article{arxiv.2505.13850,
  title  = {Involutive Weak Cubical $\omega$-categories},
  author = {Paratat Bejrakarbum and Paolo Bertozzini and Supaporn Theesoongnern},
  journal= {arXiv preprint arXiv:2505.13850},
  year   = {2025}
}

Comments

LaTeX2e, 15 pages. Reformatted version, only for arXiv purposes, of a paper published in "Science and Technology Asia"

Involutive Weak Cubical $\omega$-categories

Abstract

Keywords

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