40 citations · 399 across the 37 of their papers we have counts for
43 papers
On Stability and Existence of Models in Abstract Elementary Classes
Marcos Mazari-Armida, Sebastien Vasey, Wentao Yang
For an abstract elementary class and a cardinal , we prove under mild cardinal arithmetic assumptions, categoricity in two succesive cardinals, a…
Induced and higher-dimensional stable independence
Michael Lieberman, Jiri Rosicky, Sebastien Vasey
We provide several crucial technical extensions of the theory of stable independence notions in accessible categories. In particular, we describe circumstances under which a stable…
Cofibrant generation of pure monomorphisms
Michael Lieberman, Leonid Positselski, Jiri Rosicky +1
We show that pure monomorphisms are cofibrantly generated---generated from a set of morphisms by pushouts, transfinite composition, and retracts---in any locally finitely presentab…
Hilbert spaces and -algebras are not finitely concrete
Michael Lieberman, Jiří Rosický, Sebastien Vasey
We show that no faithful functor from the category of Hilbert spaces with linear isometries into the category of sets preserves directed colimits. Thus Hilbert spaces cannot form a…
Accessible categories, set theory, and model theory: an invitation
Sebastien Vasey
We give a self-contained introduction to accessible categories and how they shed light on both model- and set-theoretic questions. We survey for example recent developments on the…
Cellular categories and stable independence
Michael Lieberman, Jiří Rosický, Sebastien Vasey
We exhibit a bridge between the theory of cellular categories, used in algebraic topology and homological algebra, and the model-theoretic notion of stable independence. Roughly sp…