A brief review of abelian categorifications.
A classification of degree functors, I
A classification of degree functors, II
A generalized duality theorem for structure functors
A note on discrete Conduché fibrations.
Abstract initiality
We study morphisms that are initial w.r.t. all functors in a given conglomerate. Several results and counterexamples are obtained concerning the relation of such properties to different notions of subobject. E.g., strong monomorphisms are initial w.r.t. all faithful adjoint functors, but not necessarily w.r.t. all faithful monomorphism-preserving functors; morphisms that are initial w.r.t. all faithful monomorphism-preserving functors are monomorphisms, but need not be extremal; and (under weak...
Accessible set functors are universal
It is shown that every concretizable category can be fully embedded into the category of accessible set functors and natural transformations.
Addendum to completion and closure
Boolean Galois theories.
Catégories modelables et catégories esquissables
Categories of components and loop-free categories.
Cohomologies et extensions de catégories.
Completion and closure
Completions of categories and initial completions
Conditions syntaxiques de plongement. I. Prolongements de foncteurs et extensions de Kan
Conditions syntaxiques de plongement. II. Prolongements de faisceaux et faisceaux associés
Construction de foncteurs topologiques
Contravariant functors on finite sets and Stirling numbers.
Étude élémentaire des catégories
Extensions of functors and their applications