Differential forms in algebraic topology

Raoul Bott, Loring W. Tu

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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  • 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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書名 Differential forms in algebraic topology
著作者等 Bott, Raoul
Tu, Loring W.
シリーズ名 Graduate texts in mathematics
出版元 Springer-Verlag
刊行年月 1995, c1982
版表示 Corrected 3rd printing
ページ数 xiv, 331 p.
大きさ 25 cm
ISBN 3540906134
NCID BA29560441
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言語 英語
出版国 アメリカ合衆国