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Fibre Bundles

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Cover of 'Fibre Bundles'

Table of Contents

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    Book Overview
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    Chapter 1 Preliminaries on Homotopy Theory
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    Chapter 2 Generalities on Bundles
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    Chapter 3 Vector Bundles
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    Chapter 4 General Fibre Bundles
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    Chapter 5 Local Coordinate Description of Fibre Bundles
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    Chapter 6 Change of Structure Group in Fibre Bundles
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    Chapter 7 The Gauge Group of a Principal Bundle
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    Chapter 8 Calculations Involving the Classical Groups
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    Chapter 9 Stability Properties of Vector Bundles
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    Chapter 10 Relative K -Theory
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    Chapter 11 Bott Periodicity in the Complex Case
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    Chapter 12 Clifford Algebras
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    Chapter 13 The Adams Operations and Representations
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    Chapter 14 Representation Rings of Classical Groups
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    Chapter 15 The Hopf Invariant
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    Chapter 16 Vector Fields on the Sphere
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    Chapter 17 Chern Classes and Stiefel-Whitney Classes
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    Chapter 18 Differentiable Manifolds
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    Chapter 19 Characteristic Classes and Connections
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    Chapter 20 General Theory of Characteristic Classes
Attention for Chapter 9: Stability Properties of Vector Bundles
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