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arXiv · 2204.09584

An orthogonal approach to algebraic weak factorisation systems

John Bourke
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Abstract

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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John Bourke. 2022-04-20. An orthogonal approach to algebraic weak factorisation systems. https://doi.org/10.1016/j.jpaa.2022.107294

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