Structures in higher-dimensional category theory
| dc.creator | Leinster, Tom | |
| dc.date | 2001-09-04 | |
| dc.date.accessioned | 2026-07-07T04:43:15Z | |
| dc.date.available | 2026-07-07T04:43:15Z | |
| dc.description | This paper, written in 1998, aims to clarify various higher categorical structures, mostly through the theory of generalized operads and multicategories. Chapters I and II, which cover this theory and its application to give a definition of weak n-category, are largely superseded by my thesis (math.CT/0011106), but Chapters III and IV have not appeared elsewhere. The main result of Chapter III is that small Gray-categories can be characterized as the sub-tricategories of the tricategory of 2-categories, homomorphisms, strong transformations and modifications; there is also a conjecture on coherence in higher dimensions. Chapter IV defines opetopes and a category of n-pasting diagrams for each n, which in the case n=2 is a definition of the category of trees. | |
| dc.description | 81 pages, written 1998 | |
| dc.identifier | https://arxiv.org/abs/math/0109021 | |
| dc.identifier | http://arxiv.org/abs/math/0109021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62138 | |
| dc.subject | Category Theory | |
| dc.title | Structures in higher-dimensional category theory | |
| dc.type | text |