3 papers
math.CT2025
Enriched positive logic
Jiří Rosický, Giacomo Tendas
Building on our previous work on enriched regular logic, we introduce an enriched version of positive logic and relate it to enriched cone-injectivity classes and enriched accessib…
math.CT2018
How nice are free completions of categories?
Jiří Adámek, Jiří Rosický
Every category has a free completion under colimits and a free completion under coproducts. A number of properties of $\mathcal K…
math.CT2013
On a fat small object argument
Michael Makkai, Jiří Rosický, Lukáš Vokřínek
Good colimits introduced by J. Lurie generalize transfinite composites and provide an important tool for understanding cofibrant generation in locally presentable categories. We wi…