I. M. James
Fibrewise Topology
I. M. James
Fibrewise Topology
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- Produkterinnerung
- Produkterinnerung
The aim of this book is to promote a fibrewise perspective, particularly in topology.
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The aim of this book is to promote a fibrewise perspective, particularly in topology.
Produktdetails
- Produktdetails
- Verlag: Cambridge University Press
- Seitenzahl: 212
- Erscheinungstermin: 31. Juli 2008
- Englisch
- Abmessung: 229mm x 152mm x 13mm
- Gewicht: 352g
- ISBN-13: 9780521089258
- ISBN-10: 0521089255
- Artikelnr.: 25043786
- Verlag: Cambridge University Press
- Seitenzahl: 212
- Erscheinungstermin: 31. Juli 2008
- Englisch
- Abmessung: 229mm x 152mm x 13mm
- Gewicht: 352g
- ISBN-13: 9780521089258
- ISBN-10: 0521089255
- Artikelnr.: 25043786
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.
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.
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.
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.