Rational homotopy theory and differential forms
 Author/Creator
 Griffiths, Phillip, 1938 author.
 Language
 English.
 Edition
 Second edition.
 Publication
 New York : Birkhäuser, 2013.
 Physical description
 1 online resource.
 Series
 Progress in mathematics (Boston, Mass.) ; volume 16.
Access
Available online
More options
Contributors
 Contributor
 Morgan, John W., 1946 author.
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 1 Introduction. 2 Basic Concepts. 3 CW Homology Theorem. 4 The Whitehead Theorem and the Hurewicz Theorem. 5 Spectral Sequence of a Fibration. 6 Obstruction Theory. 7 EilenbergMacLane Spaces, Cohomology, and Principal Fibrations. 8 Postnikov Towers and Rational Homotopy Theory. 9 deRham's theorem for simplicial complexes. 10 Differential Graded Algebras. 11 Homotopy Theory of DGAs. 12 DGAs and Rational Homotopy Theory. 13 The Fundamental Group. 14 Examples and Computations. 15 Functorality. 16 The Hirsch Lemma. 17 Quillen's work on Rational Homotopy Theory. 18 A1structures and C1structures. 19 Exercises.
 (source: Nielsen Book Data)
 Publisher's Summary
 This completely revised and corrected version of the wellknown 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 indepth 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: *Fullyrevised 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2013
 Responsibility
 Phillip Griffiths, John Morgan.
 Series
 Progress in mathematics ; volume 16
 Available in another form
 Print version: Griffiths, Phillip, 1938 author. Rational homotopy theory and differential forms. Second edition 9781461484677 (OCoLC)857524732
 ISBN
 9781461484684 (electronic bk.)
 1461484685 (electronic bk.)
 9781461484677