Generalized enrichment of categories

Details Generalized enrichment of categories Generalized enrichment of categories

2002-04-23

arxiv.org/abs/math/0204279v1

Journal of Pure and Applied Algebra 168 (2002), 391-406

Mathematics

Category Theory

18 pages; written 1999

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Generalized enrichment of categories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized enrichment of categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized enrichment of categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-231617