51 citations · 273 across the 33 of their papers we have counts for
5 papers · 2 filters
Metric monads
JIří Rosický
We develop universal algebra over an enriched category and relate it to finitary enriched monads over . Using it, we deduce recent results about ordered un…
Are Banach spaces monadic?
Jiří Rosický
We will show that Banach spaces are monadic over complete metric spaces via the unit ball functor. For the forgetful functor, one should take complete pointed metric spaces.
Minimal accessible categories
Jiří Rosický
We give a purely category-theoretic proof of the result of Makkai and Paré saying that the category of linearly ordered sets and order preserving injective mappings is a…
Approximate injectivity and smallness in metric-enriched categories
Jiří Adámek, Jiří Rosický
Properties of categories enriched over the category of metric spaces are investigated and applied to a study of constructions known from that category and the category of Banach sp…
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…