Higher Dimensional Enrichment
| dc.creator | Forcey, Stefan | |
| dc.date | 2003-06-04 | |
| dc.date | 2003-10-21 | |
| dc.date.accessioned | 2026-07-07T04:58:35Z | |
| dc.date.available | 2026-07-07T04:58:35Z | |
| dc.description | Lyubashenko has described enriched 2-categories as categories enriched over V-Cat, the 2-category of categories enriched over a symmetric monoidal V. I have generalized this to the k-fold monoidal V. The symmetric case can easily be recovered. The introduction of this paper proposes a recursive definition of V-n-categories and their morphisms. Then I consider the special case of V-2-categories and give the details of the proof that with their morphisms these form the structure of a 3-category. | |
| dc.description | 50 pages; complete definition of V-n-categories and morphisms between them; journal style and notation--note tensor^(1) replaces box^(2); updated references | |
| dc.identifier | https://arxiv.org/abs/math/0306086 | |
| dc.identifier | http://arxiv.org/abs/math/0306086 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67696 | |
| dc.subject | Category Theory | |
| dc.subject | Algebraic Topology | |
| dc.subject | Quantum Algebra | |
| dc.subject | 18D10; 18D20 | |
| dc.title | Higher Dimensional Enrichment | |
| dc.type | text |