40 citations · 399 across the 37 of their papers we have counts for
4 papers · 1 filter
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…
Sizes and filtrations in accessible categories
Michael Lieberman, Jiří Rosický, Sebastien Vasey
Accessible categories admit a purely category-theoretic replacement for cardinality: the internal size. Generalizing results and methods from arXiv:1708.06782, we examine set-theor…