51 citations · 273 across the 33 of their papers we have counts for
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math.CT2011
Colimits of accessible categories
R. Pare, J. Rosicky
We show that any directed colimit of acessible categories and accessible full embeddings is accessible and, assuming the existence of arbitrarily large strongly compact cardinals,…
math.CT2011★ 25 cited
Locally class-presentable and class-accessible categories
Boris Chorny, Jiri Rosicky
We generalize the concepts of locally presentable and accessible categories. Our framework includes such categories as small presheaves over large categories and ind-categories. Th…
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…