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	BOURKE, John Denis. An orthogonal approach to algebraic weak factorisation systems. Journal of Pure and Applied Algebra. Elsevier, 2023, vol. 227, No 6, p. 1-21. ISSN 0022-4049. Available from: https://dx.doi.org/10.1016/j.jpaa.2022.107294.
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