Lax orthogonal factorisations in ordered structures

2017/02/08 by Clementino, Maria Manuel, Franco, Ignacio Lopez · 1 citation
#Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1702.02602

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 T₀ topological spaces closely related to continuous lattices.

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