English

Injective symmetric quantaloid-enriched categories

Category Theory 2023-12-13 v2

Abstract

We characterize injective objects, injective hulls and essential embeddings in the category of symmetric categories enriched in a small, integral and involutive quantaloid. In particular, injective partial metric spaces are precisely formulated.

Keywords

Cite

@article{arxiv.2201.10754,
  title  = {Injective symmetric quantaloid-enriched categories},
  author = {Lili Shen and Hang Yang},
  journal= {arXiv preprint arXiv:2201.10754},
  year   = {2023}
}

Comments

27 pages, final version

R2 v1 2026-06-24T09:03:08.216Z