A convenient setting for differential geometry and global analysis II
A generalized global differential calculus : application to invariance under a Lie group. I
A generalized global differential calculus. II. Application to invariance under a Lie group
Abstract tangent functors
Analyse dans les topos lisses
Analytic rings
Archimedian local -rings and models of synthetic differential geometry
Categorical differential geometry
Catégories cartésiennement fermées engendrées par des monoïdes
Catégories de variétés abstraites
Catégories localement triviales. Catégories microtransitives
Categories of modules in synthetic differential geometry
Catégories préadditives structurées
Combinatorics of curvature, and the Bianchi identity.
Combinatorics of non-holonomous jets
Comparative smootheology.
Construction d'infinitésimaux
Continuity of projections of natural bundles
This paper is a contribution to the axiomatic approach to geometric objects. A collection of a manifold M, a topological space N, a group homomorphism E: Diff(M) → Homeo(N) and a function π: N → M is called a quasi-natural bundle if (1) π ∘ E(f) = f ∘ π for every f ∈ Diff(M) and (2) if f,g ∈ Diff(M) are two diffeomorphisms such that f|U = g|U for some open subset U of M, then E(f)|π^{-1}(U) = E(g)|π^{-1}(U). We give conditions which ensure that π: N → M is continuous. In particular, if (M,N,E,π)...
Convenient vector spaces embed into the Cahiers topos
Convergence in some ringed toposes