On the axioms for adhesive and quasiadhesive categories
Category Theory
2012-05-09 v2
Abstract
A category is adhesive if it has all pullbacks, all pushouts along monomorphisms, and all exactness conditions between pullbacks and pushouts along monomorphisms which hold in a topos. This condition can be modified by considering only pushouts along regular monomorphisms, or by asking only for the exactness conditions which hold in a quasitopos. We prove four characterization theorems dealing with adhesive categories and their variants.
Keywords
Cite
@article{arxiv.1108.2934,
title = {On the axioms for adhesive and quasiadhesive categories},
author = {Richard Garner and Stephen Lack},
journal= {arXiv preprint arXiv:1108.2934},
year = {2012}
}
Comments
20 pages; v2 final version, contains more details in some proofs