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Let M be a smooth manifold, A a local algebra in sense of Andr\'e Weil, M^{A}the manifold of near points on M of kind A and X(M^{A}) the module of vectorfields on M^{A}. We give a new definition of vector fields on M^{A} and we showthat X(M^{A}) is a Lie algebra over A. We study the cohomology ofA-differential forms.

Champs de vecteurs et formes diff\'erentielles sur une vari\'et\'e des points proches