M. Karoubi,C. Leruste's Algebraic Topology via Differential Geometry (London PDF

By M. Karoubi,C. Leruste

during this quantity the authors search to demonstrate how equipment of differential geometry locate software within the examine of the topology of differential manifolds. must haves are few because the authors take pains to set out the idea of differential varieties and the algebra required. The reader is brought to De Rham cohomology, and specific and unique calculations are current as examples. subject matters lined comprise Mayer-Vietoris distinct sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This booklet may 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 ideas of differential geometry.

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