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

Contributor(s):

Osborn, Howard [oth]

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 SDDC classification:

510 s 514/.224 22
514/.224
514.224

RVK: 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:

v. 1. Foundations and Stiefel-Whitney classes

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-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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Electronic reproduction; Mode of access: World Wide Web

Reproduktion. (Elsevier e-book collection on ScienceDirect). Electronic reproduction; Mode of access: World Wide Web

English