Fibrewise topology
Author(s)
Bibliographic Information
Fibrewise topology
（Cambridge tracts in mathematics, 91）
Cambridge University Press, 2008, c1989
- : pbk.
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Note
Includes bibliographical references (p. [193]-194 ) and index
"First published 1989, This digitally printed version 2008" -- T.p.verso
Description and Table of Contents
Description
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
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.
by "Nielsen BookData"