Differential Forms in Algebraic Topology (Graduate Texts in Mathematics, #82)

by Raoul Bott and Loring W Tu

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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.
  • ISBN13 9781441928153
  • Publish Date 26 May 2011 (first published 21 April 1995)
  • Publish Status Active
  • Publish Country US
  • Imprint Springer-Verlag New York Inc.
  • Edition Softcover reprint of hardcover 1st ed. 1982
  • Format Paperback
  • Pages 338
  • Language English