3 citations · 3 across the 9 of their papers we have counts for
11 papers
Cellular generation revisited
Sean Cox, Mark Kamsma, Jiří Rosický
Cellular generation, which generalises cofibrant generation, is an important categorical smallness condition on a class of morphisms. A general challenge is to determine whether a…
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…
Cofibrant generation of pure monomorphisms in presheaf categories
Sean Cox, Jonathan Feigert, Mark Kamsma +2
We characterise when the pure monomorphisms in a presheaf category are cofibrantly generated in terms of the category . In particular, when…
Enriched concepts of regular logic
Jiří Rosický, Giacomo Tendas
Building on our previous work on enriched universal algebra, we define a notion of enriched language consisting of function and relation symbols whose arities are objects of the ba…
Enriched purity and presentability in Banach spaces
Jiří Rosický
The category of Banach spaces and linear maps of norm is locally -presentable but not locally finitely presentable. We prove, however, that is locall…
Discrete equational theories
Jiří Rosický
We introduce discrete equational theories where operations are induced by those having discrete arities. We characterize the corresponding monads as monads preserving surjections.…
Enriched Locally Generated Categories
Ivan Di Liberti, Jiří Rosický
We introduce the notion of -locally generated category for a factorization system and study its properties. We offer a Gabriel-Ulmer dualit…
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…
Definable Categories
Amit Kuber, Jiří Rosický
We introduce the notion of a definable category--a category equivalent to a full subcategory of a locally finitely presentable category that is closed under products, directed coli…
Cellular categories
M. Makkai, J. Rosický
We study locally presentable categories equipped with a cofibrantly generated weak factorization system. Our main result is that these categories are closed under 2-limits, in part…
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…