An extension to fields of positive characteristic of Mather's construction of the Thom-Boardman sequence
An implicit function theorem in Banach spaces
An inverse function theorem for Frechet spaces
An inverse function theorem in Fréchet spaces without smoothing operators
An open mapping theorem for analytic multifunctions
The paper gives sufficient conditions for projections of certain pseudoconcave sets to be open. More specifically, it is shown that the range of an analytic set-valued function whose values are simply connected planar continua is open, provided there does not exist a point which belongs to boundaries of all the fibers. The main tool is a theorem on existence of analytic discs in certain polynomially convex hulls, obtained earlier by the author.
Analysis over infinite dimensional spaces and applications to quantum field theory
Antisymmetric orbit functions.
Applications des faisceaux analytiques semi-cohérents aux fonctions différentiables
Nous appliquons les résultats d’un article précédent au domaine des fonctions différentiables. Nous obtenons en particulier des théorèmes de division et des théorèmes de fonctions composées.
Applications exponentielles pour les groupes des courants et la décomposition de Birkhoff pour les groupes des nœuds [Book]
Applications of convex integration to symplectic and contact geometry
We apply Gromov’s method of convex integration to problems related to the existence and uniqueness of symplectic and contact structures
Approximations of continuous Newton's method: an extension of Cayley's problem.
Arithmetic Monodromy Groups.
Axiomatische differentialrechnung.