Rational Homotopy Theory and Differential Forms

  New to the Second Edition: *Fully-revised appendices including an expanded discussion of the Hirsch lemma *Presentation of a natural proof of a Serre spectral sequence result *Updated content throughout the book, reflecting advances in the area of homotopy theory   With its modern approach and tim...

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Bibliographic Details
Main Authors: Griffiths, Phillip, Morgan, John (Author)
Format: eBook
Language:English
Published: New York, NY Birkhäuser 2013, 2013
Edition:2nd ed. 2013
Series:Progress in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction
  • 2 Basic Concepts
  • 3 CW Homology Theorem
  • 4 The Whitehead Theorem and the Hurewicz Theorem.-  5 Spectral Sequence of a Fibration
  • 6 Obstruction Theory
  • 7 Eilenberg-MacLane Spaces, Cohomology, and Principal Fibrations
  • 8 Postnikov Towers and Rational Homotopy Theory
  • 9 deRham's theorem for simplicial complexes
  • 10 Differential Graded Algebras
  • 11 Homotopy Theory of DGAs
  • 12 DGAs and Rational Homotopy Theory
  • 13 The Fundamental Group
  • 14 Examples and Computations
  • 15 Functorality
  • 16 The Hirsch Lemma
  • 17 Quillen's work on Rational Homotopy Theory
  • 18 A1-structures and C1-structures
  • 19 Exercises