EBOOK

Fibrewise Homotopy Theory


€ 94,49
 
gebunden
Besorgung - Lieferbarkeit unbestimmt
Oktober 1998

Beschreibung

Beschreibung

Topology occupies a central position in modern mathematics, and the concept of the fibre bundle provides an appropriate framework for studying differential geometry. Fibrewise homotopy theory is a very large subject that has attracted a good deal of research in recent years. This book provides an overview of the subject as it stands at present.

Inhaltsverzeichnis

I. A Survey of Fibrewise Homotopy Theory.
- 1: An Introduction to Fibrewise Homotopy Theory.
- 1. Fibrewise spaces.
- 2. Fibrewise transformation groups.
- 3. Fibrewise homotopy.
- 4. Fibrewise cofibrations.
- 5. Fibrewise fibrations.
- 6. Numerable coverings.
- 7. Fibrewise fibre bundles.
- 8. Fibrewise mapping-spaces.
- 2: The Pointed Theory.
- 9. Fibrewise pointed spaces.
- 10. Fibrewise one-point (Alexandroff) compactification.
- 11. Fibrewise pointed homotopy.
- 12. Fibrewise pointed cofibrations.
- 13. Fibrewise pointed fibrations.
- 14. Numerable coverings (continued).
- 15. Fibrewise pointed mapping-spaces.
- 16. Fibrewise well-pointed and fibrewise non-degenerate spaces.
- 17. Fibrewise complexes.
- 18. Fibrewise Whitehead products.
- 3: Applications.
- 19. Numerical invariants.
- 20. The reduced product (James) construction.
- 21. Fibrewise Hopf and coHopf structures.
- 22. Fibrewise manifolds.
- 23. Fibrewise configuration spaces.- II. An Introduction to Fibrewise Stable Homotopy Theory.
- 1: Foundations.
- 1. Fibre bundles.
- 2. Complements on homotopy theory.
- 3. Stable homotopy theory.
- 4. The Euler class.
- 2: Fixed-point Methods.
- 5. Fibrewise Euclidean and Absolute Neighbourhood Retracts.
- 6. Lefschetz fixed-point theory for fibrewise ENRs.
- 7. Fixed-point theory for fibrewise ANRs.
- 8. Virtual vector bundles and stable spaces.
- 9. The Adams conjecture.
- 10. Duality.
- 3: Manifold Theory.
- 11. Fibrewise differential topology.
- 12. The Pontrjagin-Thom construction.
- 13. Miller's stable splitting of U(n).
- 14. Configuration spaces and splittings.
- 4: Homology Theory.
- 15. Fibrewise homology.- References.
EAN: 9781852330149
ISBN: 1852330147
Untertitel: New. Sprache: Englisch.
Verlag: SPRINGER VERLAG GMBH
Erscheinungsdatum: Oktober 1998
Seitenanzahl: 341 Seiten
Format: gebunden
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