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Produktbild: The Topology of Fibre Bundles

The Topology of Fibre Bundles

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

25.04.1999

Verlag

Princeton University Press

Seitenzahl

240

Maße (L/B/H)

23,4/15,6/1,3 cm

Gewicht

371 g

Sprache

Englisch

ISBN

978-0-691-00548-5

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

25.04.1999

Verlag

Princeton University Press

Seitenzahl

240

Maße (L/B/H)

23,4/15,6/1,3 cm

Gewicht

371 g

Sprache

Englisch

ISBN

978-0-691-00548-5

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: GPSR Kontakt

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  • Produktbild: The Topology of Fibre Bundles
  • Part I. THE GENERAL THEORY OF BUNDLES
    1. Introduction 3
    2. Coordinate bundles and fibre bundles 6
    3. Construction of a bundle from coordinate transformations 14
    4. The product bundle 16
    5. The Ehresmann-Feldbau definition of bundle 18
    6. Differentiable manifolds and tensor bundles 20
    7. Factor spaces of groups 28
    8. The principal bundle and the principal map 35
    9. Associated bundles and relative bundles 43
    10. The induced bundle 47
    11. Homotopies of maps of bundles 49
    12. Construction of cross-sections 54
    13. Bundles having a totally disconnected group 59
    14. Covering spaces 67
    Part II. THE HOMOTOPY THEORY OF BUNDLES
    15. Homotopy groups 72
    16. The operations of Pi1 on Pi n 83
    17. The homotopy sequence of a bundle 90
    18. The classification of bundles over the n-sphere 96
    19. Universal bundles and the classification theorem 100
    20. The fibering of spheres by spheres 105
    21. The homotopy groups of spheres 110
    22. Homotopy groups of the orthogonal groups 114
    23. A characteristic map for the bundle Rn+1 over S n 118
    24. A characteristic map for the bundle Un over S 2n - 1 124
    25. The homotopy groups of miscellaneous manifolds 131
    26. Sphere bundles over spheres 134
    27. The tangent bundle of S n 140
    28. On the non-existence of fiberings of spheres by spheres 144
    Part III. THE COHOMOLOGY THEORY OF BUNDLES
    29. The stepwise extension of a cross-section 148
    30. Bundles of coefficients 151
    31. Cohomology groups based on a bundle of coefficients 155
    32. The obstruction cocycle 166
    33. The difference cochain 169
    34. Extension and deformation theorems 174
    35. The primary obstruction and the characteristic cohomology class 177
    36. The primary difference of two cross-sections 181
    37. Extensions of functions, and the homotopy classification of maps 184
    38. The Whitney characteristic classes of a sphere bundle 190
    39. The Stiefel characteristic classes of differentiable manifolds 199
    40. Quadratic forms on manifolds 204
    41. Complex analytic manifolds and exterior forms of degree 2 209
    Appendix 218
    Bibliography 223
    Index 228