Fibre Bundles/
Dale Husemoller
- 3rd ed.
- New York: Springer, 1994.
- xix, 353 p. ; 24 cm.
- (Graduate texts in mathematics), 20 .
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 Dold's Theory of Local Properties of Bundles -- Appendix 2 On the Double Suspension -- 4. Single Suspension Sequences -- 7. Double Suspension Sequences.