Fibre Bundles /

Fibre bundles play an important role in just about every aspect of modern geometry and topology. Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical education for students in geometry and mathematical physics....

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Husemoller, Dale
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York, 1994.
Edición:Third edition.
Colección:Graduate texts in mathematics ; 20.
Temas:
Mathematics.
Topology.
Mathematics
Mathématiques.
Topologie.
Topology
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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