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.
- ISBN10 1461484693
- ISBN13 9781461484691
- Publish Date 31 October 2013 (first published 2 October 2013)
- Publish Status Withdrawn
- Out of Print 18 October 2014
- Publish Country US
- Imprint Birkhauser
- Format Paperback (US Trade)
- Pages 240
- Language English