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arXiv · 1702.02602

Lax orthogonal factorisations in ordered structures

Maria Manuel Clementino·Ignacio Lopez Franco
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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.

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Maria Manuel Clementino, Ignacio Lopez Franco. 2017-02-08. Lax orthogonal factorisations in ordered structures. https://arxiv.org/abs/1702.02602

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