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Rational homotopy theory and differential forms

Author: Phillip Griffiths; John W Morgan
Publisher: New York, NY [u.a.] : Birkhäuser, 2013.
Series: Progress in mathematics, 16.
Edition/Format:   Computer file : English : 2. edView all editions and formats
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Rational Homotopy Theory and Differential Forms

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Material Type: Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Phillip Griffiths; John W Morgan
ISBN: 1461484677 9781461484677 9781461484684 1461484685
OCLC Number: 874382854
Description: XI, 224 S. : graph. Darst.
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 Eilenberg-MacLane 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 A1-structures and C1-structures.- 19 Exercises.
Series Title: Progress in mathematics, 16.
Responsibility: Phillip A. Griffiths ; John W. Morgan.

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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 Read more...

 
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