Abstract

AbstractThese notes offer a short presentation of de Rham cohomology on differentiable manifolds with a proof of the isomorphism between de Rham cohomology and singular cohomology. We also recall some duality results, show how Betti numbers relate to Morse theory and shortly present the relation between de Rham and Cech cohomologies with coefficients in the sheaf of real locally constant functions for de Rham cohomology.

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