English

Cocompletion of restriction categories

Category Theory 2016-10-25 v1

Abstract

Restriction categories were introduced as a way of generalising the notion of partial map categories. In this paper, we define cocomplete restriction category, and give the free cocompletion of a small restriction category as a suitably defined category of restriction presheaves. We also consider the case where our restriction category is locally small.

Keywords

Cite

@article{arxiv.1610.07164,
  title  = {Cocompletion of restriction categories},
  author = {Richard Garner and Daniel Lin},
  journal= {arXiv preprint arXiv:1610.07164},
  year   = {2016}
}
R2 v1 2026-06-22T16:28:49.115Z