English

The elementary construction of formal anafunctors

Category Theory 2021-09-24 v4

Abstract

This article gives an elementary and formal 2-categorical construction of a bicategory of right fractions analogous to anafunctors, starting from a 2-category equipped with a family of covering maps that are fully faithful and co-fully faithful.

Keywords

Cite

@article{arxiv.1808.04552,
  title  = {The elementary construction of formal anafunctors},
  author = {David Michael Roberts},
  journal= {arXiv preprint arXiv:1808.04552},
  year   = {2021}
}

Comments

v1: 20 pages, many diagrams. v2: updated after referee comments, 32 pages. v3: one minor terminology change, one proof streamlined after additional feedback, 32 pages; v4: minor corrections, final version to appear in journal

R2 v1 2026-06-23T03:33:03.409Z