Least and largest initial completions. II.
Logarithmic geometry and algebraic stacks
L'universalité des semi-fonctions récursives universelles
On filtered weighted colimits of presheaves
On some properties of pure morphisms of commutative rings.
On the External Characterization of Topological Functors.
Partial toposes.
Product preserving bundle functors on fibered fibered manifolds
We investigate the category of product preserving bundle functors defined on the category of fibered fibered manifolds. We show a bijective correspondence between this category and a certain category of commutative diagrams on product preserving bundle functors defined on the category ℳ f of smooth manifolds. By an application of the theory of Weil functors, the latter category is considered as a category of commutative diagrams on Weil algebras. We also mention the relation with natural transformations...
Profinite relational structures
Reflective Mac Neille completions of fibre-small categories need not be fibre-small
Small-fibred semitopological functors without small-fibred initial completions
Structures d’asphéricité, foncteurs lisses, et fibrations
Le but de cet article est de généraliser la théorie des foncteurs lisses de Grothendieck afin d’inclure dans ce cadre la théorie des catégories fibrées. On obtient en particulier une nouvelle caractérisation des catégories fibrées.
Systèmes dynamiques et fibrations. Concept d'opt-automate
-catégories (catégories dans un triple)
Technique de descente et théorèmes d'existence en géométrie algébrique. I. Généralités. Descente par morphismes fidèlement plats
The Hurwitz action and braid group orderings.
The stack quotient of a groupoid
The structure of initial completions
Two constructions on Lax functors
Varieties of universal algebras with normal local projections.