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Vector bundles : Volume 1. Foundations and stiefel-Whitney classes / Howard Osborn
Mitwirkende(r): Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: Pure and applied mathematics ; 101,1Verlag: New York : Academic Press, 1982Beschreibung: Online Ressource (xii, 371 pages) : illustrationsISBN:- 9780125293013
- 0125293011
- 9780080874203
- 0080874207
- Foundations and stiefel-Whitney classes
- QA612.63eb
- QA3 QA612.63
- QA3
- QA612.63
Inhalte:
Zusammenfassung: 5. Reduction of Structure Groups6. Polar Decompositions; 7. The Leray-Hirsch Theorem; 8. Remarks and Exercises; Chapter III. Vector Bundles; 0. Introduction; 1. Real Vector Bundles; 2. Whitney Sums and Products; 3. Riemannian Metrics; 4. Sections of Vector Bundles; 5. Smooth Vector Bundles; 6. Vector Fields and Tangent Bundles; 7. Canonical Vector Bundles; 8. The Homotopy Classification Theorem; 9. More Smooth Vector Bundles; 10. Orientable Vector Bundles; 11. Complex Vector Bundles; 12. Realifications and Complexifications; 13. Remarks and Exercises; Chapter IV. Z/2 Euler ClassesZusammenfassung: Chapter VI. Unoriented Manifolds0. Introduction; 1. Z/2 Fundamental Classes; 2. Z/2 Poincaré-Lefschetz Duality; 3. Multiplicative Z/2 Classes of RPn; 4. Nonimmersions and Nonembeddings; 5. Stiefel-Whitney Numbers; 6. Stiefel-Whitney Genera; 7. Z/2 Thom Forms; 8. The Thom-Wu Theorem; 9. Remarks and Exercises; References; Glossary of Notation; Index; Pure Applied MathematicsZusammenfassung: Front Cover; Vector Bundles: Foundations and Stiefel-Whitney Classes; Copyright Page; Contents; Preface; Introduction; Chapter I. Base Spaces; 0. Introduction; 1. The Category of Base Spaces; 2. Some Simplicial Spaces; 3. More Simplicial Spaces; 4. Weak Simplicial Spaces; 5. CW Spaces; 6. Smooth Manifolds; 7. Grassmann Manifolds; 8. Some More Coverings; 9. The Mayer-Vietoris Technique; 10. Remarks and Exercises; Chapter II. Fiber Bundles; 0. Introduction; 1. Fibre Bundles and Fiber Bundles; 2. Coordinate Bundles; 3. Bundles over Contractible Spaces; 4. Pullbacks along Homotopic MapsZusammenfassung: Vector bundles - Vol 1PPN: PPN: 1657812146Package identifier: Produktsigel: BSZ-33-ECE | ZDB-1-ELC | ZDB-33-MTC | BSZ-33-EBS-C1UB | BSZ-33-EBS-HSAA | GBV-33-EBS-MRI | GBV-33-EBS-ZHB | GBV-33-Freedom-BL | ZDB-33-EBS | ZDB-33-ESD
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