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Generalized Penon Involutive WeakGlobular Higher Categories |
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| รหัสดีโอไอ | |
| Creator | Paratat Bejrakarbum |
| Title | Generalized Penon Involutive WeakGlobular Higher Categories |
| Contributor | Paolo Bertozzini |
| Publisher | Research Administration Division |
| Publication Year | 2567 |
| Journal Title | Science & Technology Asia |
| Journal Vol. | 29 |
| Journal No. | 3 |
| Page no. | 10-24 |
| Keyword | Involutive Category, Higher Category, Monad |
| URL Website | https://www.tci-thaijo.org/index.php/SciTechAsia/index |
| Website title | ThaiJo2 |
| ISSN | 2586-9000 |
| Abstract | This research examines a generalization of the concept of an involutive weak globular??-category through Penon's approach. We first introduce the notion of a globular cone,then equip it with compositions, identities, and self-duality. Next, a free reflexive self-dualglobular-cone??-magma and a free strict involutive globular-cone??-category along with aspecified contraction over a given globular cone are established. An algebra for the monadinduced by the free-forgetful adjunction arising from the previously constructed structurenaturally defines an involutive weak globular-cone??-category. We finally provide crucialexamples of involutive weak globular-cone??-categories. |
