21 citations · 51 across the 8 of their papers we have counts for
11 papers
Fibrantly generated weak factorization systems
Sean Cox, Jiří Rosický
We prove that, assuming Vop\venka's principle, every small projectivity class in a locally presentable category is accessible.
Are chain-complete posets co-wellpowered?
Jan Jurka, Jiří Rosický
We show that the category of chain-complete posets is nearly locally presentable, we give a characterization of strong epimorphisms, and we offer an alternative proof of co-wellpow…
Remarks on combinatorial and accessible model categories
Jiří Rosický
Using full images of accessible functors, we prove some results about combinatorial and accessible model categories. In particular, we give an example of a weak factorization syste…
Forking independence from the categorical point of view
Michael Lieberman, Jiří Rosický, Sebastien Vasey
Forking is a central notion of model theory, generalizing linear independence in vector spaces and algebraic independence in fields. We develop the theory of forking in abstract, c…
Internal sizes in -abstract elementary classes
Michael Lieberman, Jiří Rosický, Sebastien Vasey
Working in the context of -abstract elementary classes (-AECs) - or, equivalently, accessible categories with all morphisms monomorphisms - we examine the two natural notions…
Universal abstract elementary classes and locally multipresentable categories
Michael Lieberman, Jiří Rosický, Sebastien Vasey
We exhibit an equivalence between the model-theoretic framework of universal classes and the category-theoretic framework of locally multipresentable categories. We similarly give…