Involutive Weak Cubical $ω$-categories
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915465061728256 |
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| author | Bejrakarbum, Paratat Bertozzini, Paolo Theesoongnern, Supaporn |
| author_facet | Bejrakarbum, Paratat Bertozzini, Paolo Theesoongnern, Supaporn |
| contents | We investigate the notion of involutive weak cubical $ω$-categories via Penon's approach: as algebras for the monad induced by the free involutive strict $ω$-category functor on cubical $ω$-sets. A few examples of involutive weak cubical $ω$-categories are provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_13850 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Involutive Weak Cubical $ω$-categories Bejrakarbum, Paratat Bertozzini, Paolo Theesoongnern, Supaporn Category Theory 18N65 (Primary) 18N70, 18M40, 18N30, 18N99 (Secondary) We investigate the notion of involutive weak cubical $ω$-categories via Penon's approach: as algebras for the monad induced by the free involutive strict $ω$-category functor on cubical $ω$-sets. A few examples of involutive weak cubical $ω$-categories are provided. |
| title | Involutive Weak Cubical $ω$-categories |
| topic | Category Theory 18N65 (Primary) 18N70, 18M40, 18N30, 18N99 (Secondary) |
| url | https://arxiv.org/abs/2505.13850 |