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Программа спецкурса "Дифференциальная топология"
Составленная Мищенко А.С. 31 августа 2015 г.

ћ Smooth manifolds. ћ Tangent bundles. ћ Bundles. Vector bundles. ћ Calculus on smooth manifolds. Dierential Forms. ћ Homology and Cohomology. De Rham Cohomology. ћ Connections and Curvatures. ћ Characteristic classes. Chern-Weil Theory. ћ Immersions and embeddings. Bordisms ћ Surgery. Smooth structures on homotopy type.

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Luke Glenys, Mishchenko Alexander S. Vector bund les and their applications. Kluwer Academic Publishers, Dordrecht, ISBN 0-79235154-1, 978-1-4419-4802-1, 978-1-4757-6923-4, 254 p.

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