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The Topology of Stiefel Manifolds


Part of London Mathematical Society Lecture Note Series

  • Date Published: January 1977
  • availability: Available
  • format: Paperback
  • isbn: 9780521213349

£ 39.99

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About the Authors
  • Stiefel manifolds are an interesting family of spaces much studied by algebraic topologists. These notes, which originated in a course given at Harvard University, describe the state of knowledge of the subject, as well as the outstanding problems. The emphasis throughout is on applications (within the subject) rather than on theory. However, such theory as is required is summarized and references to the literature are given, thus making the book accessible to non-specialists and particularly graduate students. Many examples are given and further problems suggested.

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    Product details

    • Date Published: January 1977
    • format: Paperback
    • isbn: 9780521213349
    • length: 180 pages
    • dimensions: 229 x 152 x 11 mm
    • weight: 0.265kg
    • availability: Available
  • Table of Contents

    1. Introduction: algebra versus topology
    2. The Stiefel manifolds
    3. The auxiliary spaces
    4. Retractible fibrations
    5. Thom spaces
    6. Homotopy equivariance
    7. Cross-sections and the S-type
    8. Relative Stiefel manifolds
    9. Cannibalistic characteristic classes
    10. Exponential characteristic classes
    11. The main theorem of J-theory
    12. The fibre suspension
    13. Canonical automorphisms
    14. The iterated suspension
    15.Samelson products
    16. The Hopf construction
    17. The Bott suspension
    18. The intrinsic join again
    19. Homotopy- commutativity
    20. The triviality problem
    21. When is Pn, k neutral?
    22. When is V n, 2 neutral?
    23. When is V n, k neutral?
    24. Further results and problems

  • Author

    I. M. James

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