Progress in Mathematics

Rational Homotopy Theory and Differential Forms

Authors: Griffiths, Phillip, Morgan, John

  • Second edition with fully updated content
  • Includes a readable introduction for non-specialists
  • Provides many elementary examples and exercises
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Hardcover $109.00
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Softcover $109.00
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  • ISBN 978-1-4939-3699-1
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About this book

This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham’s theorem on simplicial complexes. In addition, Sullivan’s results on computing the rational homotopy type from forms is presented.  

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 timely revisions, this second edition of Rational Homotopy Theory and Differential Forms will be a valuable resource for graduate students and researchers in algebraic topology, differential forms, and homotopy theory.

Reviews

From the book reviews:

“This book is a second, augmented version of one of the famous books on rational homotopy. … The topological intuition throughout the book, the recollections of the necessary elementary homotopy theory and the list of exercises make this book an excellent introduction to Sullivan’s theory. … this book is highly recommended to anyone who wants to understand Sullivan’s theory of rational homotopy theory.” (Daniel Tanré, Mathematical Reviews, February, 2015)


Table of contents (19 chapters)

  • Introduction

    Griffiths, Phillip (et al.)

    Pages 1-3

  • Basic Concepts

    Griffiths, Phillip (et al.)

    Pages 5-20

  • CW Homology Theorem

    Griffiths, Phillip (et al.)

    Pages 21-25

  • The Whitehead Theorem and the Hurewicz Theorem

    Griffiths, Phillip (et al.)

    Pages 27-40

  • Spectral Sequence of a Fibration

    Griffiths, Phillip (et al.)

    Pages 41-52

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-1-4614-8468-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-1-4614-8467-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4939-3699-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Rational Homotopy Theory and Differential Forms
Authors
Series Title
Progress in Mathematics
Series Volume
16
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-8468-4
DOI
10.1007/978-1-4614-8468-4
Hardcover ISBN
978-1-4614-8467-7
Softcover ISBN
978-1-4939-3699-1
Series ISSN
0743-1643
Edition Number
2
Number of Pages
XI, 227
Number of Illustrations and Tables
46 b/w illustrations
Topics