Generalized enrichment of categories
| dc.creator | Leinster, Tom | |
| dc.date | 2002-04-23 | |
| dc.date.accessioned | 2026-07-07T04:48:01Z | |
| dc.date.available | 2026-07-07T04:48:01Z | |
| dc.description | We define the phrase `category enriched in an fc-multicategory' and explore some examples. An fc-multicategory is a very general kind of 2-dimensional structure, special cases of which are double categories, bicategories, monoidal categories and ordinary multicategories. Enrichment in an fc-multicategory extends the (more or less well-known) theories of enrichment in a monoidal category, in a bicategory, and in a multicategory. Moreover, fc-multicategories provide a natural setting for the bimodules construction, traditionally performed on suitably cocomplete bicategories. Although this paper is elementary and self-contained, we also explain why, from one point of view, fc-multicategories are the natural structures in which to enrich categories. | |
| dc.description | 18 pages; written 1999 | |
| dc.identifier | https://arxiv.org/abs/math/0204279 | |
| dc.identifier | http://arxiv.org/abs/math/0204279 | |
| dc.identifier | Journal of Pure and Applied Algebra 168 (2002), 391-406 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63890 | |
| dc.subject | Category Theory | |
| dc.subject | 18D20, 18D05, 18D50, 18D10 | |
| dc.title | Generalized enrichment of categories | |
| dc.type | text |