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Rational Homotopy Theory and Differential Forms

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Cover of 'Rational Homotopy Theory and Differential Forms'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Basic Concepts
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    Chapter 3 CW Homology Theorem
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    Chapter 4 The Whitehead Theorem and the Hurewicz Theorem
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    Chapter 5 Spectral Sequence of a Fibration
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    Chapter 6 Obstruction Theory
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    Chapter 7 Eilenberg–MacLane Spaces, Cohomology, and Principal Fibrations
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    Chapter 8 Postnikov Towers and Rational Homotopy Theory
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    Chapter 9 deRham’s Theorem for Simplicial Complexes
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    Chapter 10 Differential Graded Algebras
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    Chapter 11 Homotopy Theory of DGAs
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    Chapter 12 DGAs and Rational Homotopy Theory
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    Chapter 13 The Fundamental Group
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    Chapter 14 Examples and Computations
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    Chapter 15 Functorality
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    Chapter 16 The Hirsch Lemma
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    Chapter 17 Quillen’s Work on Rational Homotopy Theory
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    Chapter 18 A ∞ -Structures and C ∞ -Structures
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    Chapter 19 Exercises
Attention for Chapter 2: Basic Concepts
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