English

When is Cat(Q) cartesian closed?

Category Theory 2026-01-15 v2

Abstract

We give an elementary characterization of those quantaloids Q for which the category Cat(Q) of Q-enriched categories and functors is cartesian closed. We then unify several known cases (previously proven using ad hoc methods) and we give some new examples.

Keywords

Cite

@article{arxiv.2501.03942,
  title  = {When is Cat(Q) cartesian closed?},
  author = {Isar Stubbe and Junche Yu},
  journal= {arXiv preprint arXiv:2501.03942},
  year   = {2026}
}

Comments

9 pages, accepted for publication

R2 v1 2026-06-28T20:58:58.632Z