Rational Homotopy Theory and Differential Forms

Nonfiction, Science & Nature, Mathematics, Topology, Algebra
Cover of the book Rational Homotopy Theory and Differential Forms by Phillip Griffiths, John Morgan, Springer New York
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Author: Phillip Griffiths, John Morgan ISBN: 9781461484684
Publisher: Springer New York Publication: October 2, 2013
Imprint: Birkhäuser Language: English
Author: Phillip Griffiths, John Morgan
ISBN: 9781461484684
Publisher: Springer New York
Publication: October 2, 2013
Imprint: Birkhäuser
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

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