Categorical structures enriched in a quantaloid: tensored and cotensored categories
Category Theory
2007-05-23 v1
Abstract
Our subject is that of categories, functors and distributors enriched in a base quantaloid Q. We show how cocomplete Q-categories are precisely those which are tensored and conically cocomplete, or alternatively, those which are tensored, cotensored and order-cocomplete. Bearing this in mind, we analyze how Sup-valued homomorphisms on Q are related to Q-categories. With an appendix on action, representation and variation.
Cite
@article{arxiv.math/0411366,
title = {Categorical structures enriched in a quantaloid: tensored and cotensored categories},
author = {Isar Stubbe},
journal= {arXiv preprint arXiv:math/0411366},
year = {2007}
}
Comments
19 pages