Elementary equivalence and codimension in p-adic fields.
Élements spectralement injectifs et générateurs universels dans une algèbre de Tate.
Embedding theorems for spaces of ℝ-places of rational function fields and their products
We study spaces M(R(y)) of ℝ-places of rational function fields R(y) in one variable. For extensions F|R of formally real fields, with R real closed and satisfying a natural condition, we find embeddings of M(R(y)) in M(F(y)) and prove uniqueness results. Further, we study embeddings of products of spaces of the form M(F(y)) in spaces of ℝ-places of rational function fields in several variables. Our results uncover rather unexpected obstacles to a positive solution of the open question whether the...
Endomorphismes complètement continus des espaces de Banach -adiques
Ensembles d’analyticité en analyse -adique
Ensembles d’analyticité en analyse -adique
Équations différentielles sur un corps de fonctions algébriques
On étend une partie de la théorie de la structure de Frobenius faible des équations différentielles -adiques au cas où les coefficients sont des fonctions algébriques.
Equivalence of Bases in Non-archimedean Banach Spaces
Equivalence of bases in non-Archimedean Banach spaces.
Espaces de Berkovich, polytopes, squelettes et théorie des modèles : erratum
Every reasonably sized matrix group is a subgroup of S ∞
Every reasonably sized matrix group has an injective homomorphism into the group of all bijections of the natural numbers. However, not every reasonably sized simple group has an injective homomorphism into .
Existence de fonctions croulantes
Extension of places and contraction properties for function fields over [...]-adically closed fields.