Formes différentielles non commutatives et Algèbres de Gerstenhaber

Abstract

In this work we show that for any topological space X having the homotopy type of a CW-complex and for any commutative ring R, the singular cohomology H * (X;R) is a Gerstenhaber algebra (see. [7]). In fact we prove that H * (X;R) satisfies the conditions of a generalization of the Gerstenhaber algebras.