Algebraic Topology via Differential Geometry (London by M. Karoubi,C. Leruste

By M. Karoubi,C. Leruste

during this quantity the authors search to demonstrate how equipment of differential geometry locate program within the examine of the topology of differential manifolds. necessities are few because the authors take pains to set out the idea of differential kinds and the algebra required. The reader is brought to De Rham cohomology, and specific and distinctive calculations are current as examples. issues lined contain Mayer-Vietoris distinct sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This e-book could be appropriate for graduate scholars taking classes in algebraic topology and in differential topology. Mathematicians learning relativity and mathematical physics will locate this a useful advent to the innovations of differential geometry.

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