An orthogonal approach to algebraic weak factorisation systems

• 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

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.

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