English

Diagonals between $\mathcal{Q}$-distributors

Category Theory 2022-01-27 v2

Abstract

For a small quantaloid Q\mathcal{Q}, it is shown that the category of Q\mathcal{Q}-distributors and diagonals is equivalent to a quotient category of the category of Q\mathcal{Q}-interior spaces and continuous Q\mathcal{Q}-distributors. Kan adjunctions induced by Q\mathcal{Q}-distributors play a crucial role in establishing this equivalence.

Keywords

Cite

@article{arxiv.2003.13959,
  title  = {Diagonals between $\mathcal{Q}$-distributors},
  author = {Lili Shen},
  journal= {arXiv preprint arXiv:2003.13959},
  year   = {2022}
}

Comments

20 pages, final version

R2 v1 2026-06-23T14:33:12.015Z