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...
Main Authors: | , |
---|---|
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