21 citations · 38 across the 11 of their papers we have counts for
14 papers
Graduated categories of presheaves
Jiri Adamek, Lurdes Sousa
We study conditions on a small category under which every finitely generated object of its presheaf category is finitely presentable. Example: this holds for a group…
Bicategories of Lax Fractions
Graham Manuell, Lurdes Sousa
The well-known calculus of fractions of Gabriel and Zisman provides a convenient way to formally invert morphisms in a category. This was generalised to bicategories by Pronk. We e…
A Finitary Adjoint Functor Theorem
Jirí Adámek, Lurdes Sousa
Graduated locally finitely presentable categories are introduced, examples include categories of sets, vector spaces, posets, presheaves and Boolean algebras. A finitary functor be…
KZ-pseudomonads and Kan Injectivity
Ivan Di Liberti, Gabriele Lobbia, Lurdes Sousa
We introduce the notion of Kan injectivity in 2-categories and study its properties. For an adequate 2-category , we show that every set of morphisms ind…
Cauchy Completeness, Lax Epimorphisms and Effective Descent for Split Fibrations
Fernando Lucatelli Nunes, Rui Prezado, Lurdes Sousa
For any suitable base category , we find that -fully faithful lax epimorphisms in - are precisely those -funct…
On lax epimorphisms and the associated factorization
Fernando Lucatelli Nunes, Lurdes Sousa
We study lax epimorphisms in 2-categories, with special attention to and -. We show that any 2-category with convenient colimits has an or…