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Fibrewise topology

Author: I M James
Publisher: Cambridge ; New York : Cambridge University Press, 1989.
Series: Cambridge tracts in mathematics, 91.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

The aim of this book is to promote a fibrewise perspective, particularly in topology. Already this view is standard in the theory of fibre bundles and therefore in such subjects as global analysis.  Read more...

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Additional Physical Format: Online version:
James, I.M. (Ioan Mackenzie), 1928-
Fibrewise topology.
Cambridge ; New York : Cambridge University Press, 1989
(OCoLC)802299792
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: I M James
ISBN: 0521360900 9780521360906
OCLC Number: 17803670
Description: x, 198 pages : illustrations ; 24 cm.
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.
Series Title: Cambridge tracts in mathematics, 91.
Responsibility: I.M. James.
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."..provides a solid and invigorating foundation for the increasing research interest in fibrewise technology." Sci Tech Book News

 
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