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Vector bundles : Volume 1. Foundations and stiefel-Whitney classes / Howard Osborn

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Pure and applied mathematics ; 101,1Publisher: New York : Academic Press, 1982Description: Online Ressource (xii, 371 pages) : illustrationsISBN:
  • 9780125293013
  • 0125293011
  • 9780080874203
  • 0080874207
Other title:
  • Foundations and stiefel-Whitney classes
Subject(s): Additional physical formats: 0125293011 | Erscheint auch als: Vector bundles ; 1: Foundations and Stiefel-Whitney Classes. Druck-Ausgabe New York, NY [u.a.] : Academic Press, 1982. 371 SRVK: RVK: SK 350LOC classification:
  • QA612.63eb
  • QA3 QA612.63
  • QA3
  • QA612.63
Online resources: Additional physical formats: Electronic reproduction; Mode of access: World Wide Web
Contents:
Summary: 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 ClassesSummary: 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 MathematicsSummary: 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 MapsSummary: Vector bundles - Vol 1PPN: PPN: 1657812146Package identifier: Produktsigel: BSZ-33-EBS-C1UB | BSZ-33-EBS-HSAA | BSZ-33-ECE | GBV-33-EBS-MRI | GBV-33-EBS-ZHB | GBV-33-Freedom-BL | ZDB-1-ELC | ZDB-33-EBS | ZDB-33-ESD | ZDB-33-MTC
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