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Fibre bundles

Author: Dale Husemöller
Publisher: New York ; Berlin ; Paris : Springer, cop. 1994.
Series: Graduate texts in mathematics, 20
Edition/Format:   Print book : English : 3rd edView all editions and formats
Database:WorldCat
Summary:

Homotopy classification, and characteristic classes of fiber bundles have become an essential part of graduate mathematical education for students in geometry and mathematical physics. This book  Read more...

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Document Type: Book
All Authors / Contributors: Dale Husemöller
ISBN: 0387940871 9780387940878 3540940871 9783540940876
OCLC Number: 468549764
Notes: Bibliogr. p. 339-347. Index.
Description: XIX-353 p. ; 25 cm.
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.
Series Title: Graduate texts in mathematics, 20
Responsibility: Dale Husemoller.
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