Volume 16 2013

Rational Homotopy Theory and Differential Forms

Authors:

ISBN: 978-1-4614-8467-7 (Print) 978-1-4614-8468-4 (Online)

Table of contents (19 chapters)

  1. Front Matter

    Pages i-xi

  2. No Access

    Book Chapter

    Pages 1-3

    Introduction

  3. No Access

    Book Chapter

    Pages 5-20

    Basic Concepts

  4. No Access

    Book Chapter

    Pages 21-25

    CW Homology Theorem

  5. No Access

    Book Chapter

    Pages 27-40

    The Whitehead Theorem and the Hurewicz Theorem

  6. No Access

    Book Chapter

    Pages 41-52

    Spectral Sequence of a Fibration

  7. No Access

    Book Chapter

    Pages 53-61

    Obstruction Theory

  8. No Access

    Book Chapter

    Pages 63-67

    Eilenberg–MacLane Spaces, Cohomology, and Principal Fibrations

  9. No Access

    Book Chapter

    Pages 69-81

    Postnikov Towers and Rational Homotopy Theory

  10. No Access

    Book Chapter

    Pages 83-93

    deRham’s Theorem for Simplicial Complexes

  11. No Access

    Book Chapter

    Pages 95-102

    Differential Graded Algebras

  12. No Access

    Book Chapter

    Pages 103-111

    Homotopy Theory of DGAs

  13. No Access

    Book Chapter

    Pages 113-118

    DGAs and Rational Homotopy Theory

  14. No Access

    Book Chapter

    Pages 119-126

    The Fundamental Group

  15. No Access

    Book Chapter

    Pages 127-140

    Examples and Computations

  16. No Access

    Book Chapter

    Pages 141-149

    Functorality

  17. No Access

    Book Chapter

    Pages 151-163

    The Hirsch Lemma

  18. No Access

    Book Chapter

    Pages 165-176

    Quillen’s Work on Rational Homotopy Theory

  19. No Access

    Book Chapter

    Pages 177-185

    A -Structures and C -Structures

  20. No Access

    Book Chapter

    Pages 187-221

    Exercises

  21. Back Matter

    Pages 223-227