Weak n-categories: opetopic and multitopic foundations
| dc.creator | Cheng, Eugenia | |
| dc.date | 2003-04-21 | |
| dc.date.accessioned | 2026-07-07T04:57:04Z | |
| dc.date.available | 2026-07-07T04:57:04Z | |
| dc.description | We generalise the concepts introduced by Baez and Dolan to define opetopes constructed from symmetric operads with a category, rather than a set, of objects. We describe the category of 1-level generalised multicategories, a special case of the concept introduced by Hermida, Makkai and Power, and exhibit a full embedding of this category in the category of symmetric operads with a category of objects. As an analogy to the Baez-Dolan slice construction, we exhibit a certain multicategory of function replacement as a slice construction in the multitopic setting, and use it to construct multitopes. We give an explicit description of the relationship between opetopes and multitopes. | |
| dc.description | 41 pages | |
| dc.identifier | https://arxiv.org/abs/math/0304277 | |
| dc.identifier | http://arxiv.org/abs/math/0304277 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67147 | |
| dc.subject | Category Theory | |
| dc.title | Weak n-categories: opetopic and multitopic foundations | |
| dc.type | text |