Overview
- Second edition with fully updated content
- Includes a readable introduction for non-specialists
- Provides many elementary examples and exercises
Part of the book series: Progress in Mathematics (PM, volume 16)
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Table of contents (19 chapters)
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Front Matter
Keywords
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)
Authors and Affiliations
Bibliographic Information
Book Title: Rational Homotopy Theory and Differential Forms
Authors: Phillip Griffiths, John Morgan
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-1-4614-8468-4
Publisher: Birkhäuser New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-8467-7Published: 02 October 2013
Softcover ISBN: 978-1-4939-3699-1Published: 02 October 2013
eBook ISBN: 978-1-4614-8468-4Published: 02 October 2013
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 2
Number of Pages: XI, 227
Number of Illustrations: 46 b/w illustrations
Topics: Algebraic Topology, Category Theory, Homological Algebra, Commutative Rings and Algebras, Topology, Algebra