51 citations · 273 across the 33 of their papers we have counts for
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math.CT2019★ 2 cited
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…
math.CT2019
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…