2 papers
math.CT2011
Definable orthogonality classes in accessible categories are small
Joan Bagaria, Carles Casacuberta, A. R. D. Mathias +1
We lower substantially the strength of the assumptions needed for the validity of certain results in category theory and homotopy theory which were known to follow from Vopenka's p…
math.CT2007
Epireflections and supercompact cardinals
Joan Bagaria, Carles Casacuberta, Adrian R. D. Mathias
We prove that, under suitable assumptions on a category C, the existence of supercompact cardinals implies that every absolute epireflective class of objects of C is a small-orthog…