Lax orthogonal factorisations in ordered structures
Category Theory
2017-02-10 v1
Abstract
We give an account of lax orthogonal factorisation systems on order-enriched categories. Among them, we define and characterise the KZ-reflective ones, in a way that mirrors the characterisation of reflective orthogonal factorisation systems. We use simple monads to construct lax orthogonal factorisation systems, such as one on the category of T_0 topological spaces closely related to continuous lattices.
Cite
@article{arxiv.1702.02602,
title = {Lax orthogonal factorisations in ordered structures},
author = {Maria Manuel Clementino and Ignacio Lopez Franco},
journal= {arXiv preprint arXiv:1702.02602},
year = {2017}
}
Comments
51 pages