A calculus on lax functors
arXiv:1307.7216
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.
arXiv comment20 pages, comments welcome, first draft