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

By M. Karoubi,C. Leruste

during this quantity the authors search to demonstrate how tools of differential geometry locate software within the research of the topology of differential manifolds. must haves are few because the authors take pains to set out the speculation of differential types and the algebra required. The reader is brought to De Rham cohomology, and particular and unique calculations are current as examples. themes lined contain Mayer-Vietoris designated sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This e-book might be compatible 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 recommendations of differential geometry.

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