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math.CT2022
A skew approach to enrichment for Gray-categories
John Bourke, Gabriele Lobbia
It is well known that the category of Gray-categories does not admit a monoidal biclosed structure that models weak higher-dimensional transformations. In this paper, the first of…
math.CT2022★ 2 cited
An orthogonal approach to algebraic weak factorisation systems
John Bourke
We describe an equivalent formulation of algebraic weak factorisation systems, not involving monads and comonads, but involving double categories of morphisms equipped with a lifti…