170 citations · 172 across the 5 of their papers we have counts for
6 papers
Elementary equivalences and accessible functors
Tibor Beke, Jiri Rosicky
We introduce the notion of -equivalence and -embeddings of objects in suitable categories. This notion specializes to -equivalence and -elementary e…
Cellular objects and Shelah's singular compactness theorem
Tibor Beke, Jiri Rosicky
The best-known version of Shelah's celebrated singular cardinal compactness theorem states that if the cardinality of an abelian group is singular, and all its subgroups of lesser…
Abstract elementary classes and accessible categories
Tibor Beke, Jiri Rosicky
We compare abstract elementary classes of Shelah with accessible categories having directed colimits.
Fibrations of simplicial sets
Tibor Beke
There are infinitely many variants of the notion of Kan fibration that, together with suitable choices of cofibrations and the usual notion of weak equivalence of simplicial sets,…
Isoperimetric inequalities and the Friedlander-Milnor conjecture
Tibor Beke
We prove that Friedlander's generalized isomorphism conjecture on the cohomology of algebraic groups, and hence the Isomorphism Conjecture for the cohomology of the complex algebra…
Sheafifiable homotopy model categories
Tibor Beke
If a Quillen model category can be specified using a certain logical syntax (intuitively, ``is algebraic/combinatorial enough''), so that it can be defined in any category of sheav…