69 citations · 225 across the 25 of their papers we have counts for
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math.CT2014★ 37 cited
Algebraic weak factorisation systems II: categories of weak maps
John Bourke, Richard Garner
We investigate the categories of weak maps associated to an algebraic weak factorisation system (AWFS) in the sense of Grandis-Tholen. For any AWFS on a category with an initial ob…
math.CT2014★ 69 cited
Algebraic weak factorisation systems I: accessible AWFS
John Bourke, Richard Garner
Algebraic weak factorisation systems (AWFS) refine weak factorisation systems by requiring that the assignations sending a map to its first and second factors should underlie an in…
math.CT2014★ 4 cited
A cocategorical obstruction to tensor products of Gray-categories
John Bourke, Nick Gurski
It was argued by Crans that it is too much to ask that the category of Gray-categories admit a well behaved monoidal biclosed structure. We make this precise by establishing undesi…