Description

Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.

Differential Forms in Algebraic Topology

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Hardback by Raoul Bott , Loring W. Tu

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Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main... Read more

    Publisher: Springer-Verlag New York Inc.
    Publication Date: 21/04/1995
    ISBN13: 9780387906133, 978-0387906133
    ISBN10: 0387906134

    Number of Pages: 338

    Non Fiction , Mathematics & Science , Education

    Description

    Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.

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