An orthogonal approach to algebraic weak factorisation systems

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Authors	BOURKE John Denis
Year of publication	2023
Type	Article in Periodical
Magazine / Source	Journal of Pure and Applied Algebra
MU Faculty or unit	Faculty of Science
Citation
Web	https://arxiv.org/pdf/2204.09584.pdf https://doi.org/10.1016/j.jpaa.2022.107294
Doi	http://dx.doi.org/10.1016/j.jpaa.2022.107294
Keywords	higher category; factorisation systems
Description	We describe an equivalent formulation of algebraic weak factorisation systems, not involving monads and comonads, but involving double categories of morphisms equipped with a lifting operation satisfying lifting and factorisation axioms.
Related projects:	Enriched categories and their applications