Fibrewise Topology

Klappentext The aim of this book is to promote a fibrewise perspective! particularly in topology. Zusammenfassung 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. It has a role to play also in general and equivariant topology. Inhaltsverzeichnis 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.

Product details

• Authors: I. M. James
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 30.10.2008
• EAN: 9780521089258
• ISBN: 978-0-521-08925-8
• No. of pages: 212
• Series: Cambridge Tracts in Mathematic
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry