Author | Husemoller, Dale. author |
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Title | Fibre Bundles [electronic resource] / by Dale Husemoller |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1994 |
Edition | Third Edition |
Connect to | http://dx.doi.org/10.1007/978-1-4757-2261-1 |
Descript | XX, 356 p. online resource |
1 Preliminaries on Homotopy Theory -- I The General Theory of Fibre Bundles -- 2 Generalities on Bundles -- 3 Vector Bundles -- 4 General Fibre Bundles -- 5 Local Coordinate Description of Fibre Bundles -- 6 Change of Structure Group in Fibre Bundles -- 7 The Gauge Group of a Principal Bundle -- 8 Calculations Involving the Classical Groups -- II Elements of K-Theory -- 9 Stability Properties of Vector Bundles -- 10 Relative K-Theory -- 11 Bott Periodicity in the Complex Case -- 12 Clifford Algebras -- 13 The Adams Operations and Representations -- 14 Representation Rings of Classical Groups -- 15 The Hopf Invariant -- 16 Vector Fields on the Sphere -- III Characteristic Classes -- 17 Chern Classes and Stiefel-Whitney Classes -- 18 Differentiable Manifolds -- 19 Characteristic Classes and Connections -- 20 General Theory of Characteristic Classes -- Appendix 1 Doldโs Theory of Local Properties of Bundles -- Appendix 2 On the Double Suspension -- 4. Single Suspension Sequences -- 7. Double Suspension Sequences