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Differential Forms in Algebraic Topology

Paperback Engels 2011 9781441928153
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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 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.

Specificaties

ISBN13:9781441928153
Taal:Engels
Bindwijze:paperback
Aantal pagina's:338
Uitgever:Springer New York

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Inhoudsopgave

I De Rham Theory.- II The ?ech-de Rham Complex.- III Spectral Sequences and Applications.- IV Characteristic Classes.- References.- List of Notations.

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        Differential Forms in Algebraic Topology