Differential forms in algebraic topology
Author(s)
Bibliographic Information
Differential forms in algebraic topology
（Graduate texts in mathematics, 82）
Springer, c2010
- : [pbk]
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Note
Includes bibliographical references (p. 307-310), list of notations, and index
Description and Table of Contents
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.
Table of Contents
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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