English

A calculus on lax functors

Category Theory 2013-07-30 v1

Abstract

We verify that Kelly's constructions of the internal Hom for enriched categories extends naturally to lax functors taking their values in a symmetric monoidal category. Our motivation is to set up a `calculus on lax functors' that will host the theory of weakly enriched categories that are defined by lax diagrams.

Keywords

Cite

@article{arxiv.1307.7216,
  title  = {A calculus on lax functors},
  author = {Hugo V. Bacard},
  journal= {arXiv preprint arXiv:1307.7216},
  year   = {2013}
}

Comments

20 pages, comments welcome, first draft

R2 v1 2026-06-22T00:58:47.470Z