Differential forms in algebraic topology
著者
書誌事項
Differential forms in algebraic topology
（Graduate texts in mathematics, 82）
Springer-Verlag, 1995, c1982
Corrected 3rd printing
- : us
- : gw
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注記
Includes bibliographical references (p. 307-310), list of notations, and index
"Corrected third printing, 1995"--T.p. verso
内容説明・目次
- 巻冊次
-
: us ISBN 9780387906133
内容説明
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.
目次
I De Rham Theory.- II The ?ech-de Rham Complex.- III Spectral Sequences and Applications.- IV Characteristic Classes.- References.- List of Notations.
- 巻冊次
-
: gw ISBN 9783540906131
内容説明
This text, developed from a first-year graduate course in algebraic topology, 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 - and include some applications to homotopy theory. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. This text should be suitable for self-study or for a one-term course in topology.
目次
- De Rham Theory
- The Tic-Tac-Toe Game
- Spectral Sequences
- Characteristic Classes.
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