Rational Homotopy Theory and Differential Forms
Author:   Phillip Griffiths ,  John Morgan
Publisher:   Birkhauser Boston Inc
Edition:   2nd ed. 2013
Volume:   16
ISBN:  

9781461484677


Pages:   227
Publication Date:   02 October 2013
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Rational Homotopy Theory and Differential Forms


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Author:   Phillip Griffiths ,  John Morgan
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   2nd ed. 2013
Volume:   16
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   4.853kg
ISBN:  

9781461484677


ISBN 10:   1461484677
Pages:   227
Publication Date:   02 October 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of 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.

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 Tanre, Mathematical Reviews, February, 2015)


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