Generalized Enrichment for Categories and Multicategories
| dc.creator | Leinster, Tom | |
| dc.date | 1999-01-29 | |
| dc.date.accessioned | 2026-07-07T05:27:42Z | |
| dc.date.available | 2026-07-07T05:27:42Z | |
| dc.description | In this paper we answer the question: `what kind of a structure can a general multicategory be enriched in?' The answer is, in a sense to be made precise, that a multicategory of one type can be enriched in a multicategory of the type one level up. In the case of ordinary categories this reduces to something surprising: a category may be enriched in an `fc-multicategory', a very general kind of 2-dimensional structure encompassing monoidal categories, plain multicategories, bicategories and double categories. (It turns out that fc-multicategories also provide a natural setting for the bimodules construction.) An extended application is given: the relaxed multicategories of Borcherds and Soibelman are explained in terms of enrichment. | |
| dc.description | 79 pages | |
| dc.identifier | https://arxiv.org/abs/math/9901139 | |
| dc.identifier | http://arxiv.org/abs/math/9901139 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78020 | |
| dc.subject | Category Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Generalized Enrichment for Categories and Multicategories | |
| dc.type | text |