Limits and colimits of quantaloid-enriched categories and their distributors

Abstract

It is shown that, for a small quantaloid Q, the category of small Q-categories and Q-functors is total and cototal, and so is the category of Q-distributors and Q-Chu transforms.

12 pages, final version

References in corpus (3)

• Categorical structures enriched in a quantaloid: categories, distributors and functors
• Categorical structures enriched in a quantaloid: tensored and cotensored categories
• Topological categories, quantaloids and Isbell adjunctions

Cited by in corpus (5)

• Topological categories, quantaloids and Isbell adjunctions
• Fuzzy Galois connections on fuzzy sets
• $\mathcal{Q}$-closure spaces
• Lax Distributive Laws for Topology, I
• Diagonals between $\mathcal{Q}$-distributors