69 citations · 225 across the 25 of their papers we have counts for
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math.CT2020★ 6 cited
Adjoint functor theorems for homotopically enriched categories
John Bourke, Stephen Lack, Lukáš Vokřínek
We prove an adjoint functor theorem in the setting of categories enriched in a monoidal model category admitting certain limits. When is equipped with the…
math.CT2020
Algebraically cofibrant and fibrant objects revisited
John Bourke, Simon Henry
We extend all known results about transferred model structures on algebraically cofibrant and fibrant objects by working with weak model categories. We show that for an accessible…
math.CT2020★ 12 cited
Accessible aspects of 2-category theory
John Bourke
Categorical structures and their pseudomaps rarely form locally presentable 2-categories in the sense of Cat-enriched category theory. However, we show that if the categorical stru…