Differential forms in algebraic topology

著者

書誌事項

Differential forms in algebraic topology

Raoul Bott, Loring W. Tu

（Graduate texts in mathematics, 82）

Springer-Verlag, 1995, c1982

Corrected 3rd printing

  • : us
  • : gw

大学図書館所蔵 件 / 全13件

この図書・雑誌をさがす

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.

「Nielsen BookData」 より

関連文献： 1件中  1-1を表示

詳細情報

ページトップへ