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Fibre Bundles/ Dale Husemoller

By: Husemoller, DaleMaterial type: Text

TextSeries: (Graduate texts in mathematics) ; 20Publication details: New York: Springer, 1994Edition: 3rd edDescription: xix, 353 p. ; 24 cmISBN: 9780387940878Subject(s): Fiber bundles | Topology | MathematicsDDC classification: 514.224

Contents:

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.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	514.224 HUS/ (Browse shelf(Opens below))	Available		P25258

Total holds: 0

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.

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