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Look Inside Fibrewise Topology

Fibrewise Topology

Part of Cambridge Tracts in Mathematics

  • Date Published: October 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521089258

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  • The aim of this book is to promote a fibrewise perspective, particularly in topology, which is central to modern mathematics. Already this view is standard in the theory of fibre bundles and therefore in such subjects as global analysis. It has a role to play also in general and equivariant topology. There are strong links with equivariant topology, a topic which has latterly been subject to great research activity. It is to be hoped that this book will provide a solid and invigorating foundation for the increasing research interest in fibrewise topology

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    Product details

    • Date Published: October 2008
    • format: Paperback
    • isbn: 9780521089258
    • length: 212 pages
    • dimensions: 229 x 152 x 12 mm
    • weight: 0.32kg
    • availability: Available
  • Table of Contents

    Preface
    Part I. Basic Fibrewise Topology:
    1. Fibrewise topological spaces
    2. Fibrewise separation conditions
    3. Fibrewise compact spaces
    4. Tied filters
    5. Fibrewise quotient spaces
    6. Fibrewise pointed topological spaces
    7. Relation with equivariant topology
    Part II. Further Fibrewise Topology:
    8. Fibrewise compactification
    9. The fibrewise mapping-space
    10. Fibrewise compactly-generated spaces
    11. Naturality and naturalization
    Part III. Fibrewise Uniform Spaces:
    12. Fibrewise uniform structures
    13. Fibrewise uniform topology
    14. The Cauchy completion
    15. Fibrewise completion
    16. Functoriality
    17. Fibrewise compactness and precompactness
    Part IV. Fibrewise Homotopy Theory:
    18. Fibrewise homotopy
    19. Fibrewise pointed homotopy
    20. Fibrewise confibrations
    21. Fibrewise pointed confibrations
    22. Fibrewise non-degenerate spaces
    23. Fibrewise fibrations
    24. Relation with equivariant homotopy theory
    Part V. Miscellaneous Topics:
    25. Fibre bundles
    26. Numerable coverings
    27. Fibrewise connectedness
    Note on the literature
    References
    Index.

  • Author

    I. M. James

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