Eylem Seç
Vector bundles. Volume 1, Foundations and stiefel-Whitney classes
Başlık:
Vector bundles. Volume 1, Foundations and stiefel-Whitney classes
Yazar:
Osborn, Howard.
ISBN:
9780125293013
9780080874203
9781281768780
9786611768782
Yazar Ek Girişi:
Yayın Bilgileri:
New York : Academic Press, 1982.
Fiziksel Tanımlama:
1 online resource (xii, 371 pages) : illustrations.
Seri:
Pure and applied mathematics ; 101
Pure and applied mathematics (Academic Press) ; 101.
İçerik:
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 Maps
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 Classes
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 Mathematics
Özet:
Vector bundles - Vol 1.
Tür:
Elektronik Erişim:
ScienceDirect http://www.sciencedirect.com/science/book/9780125293013 ScienceDirect http://www.sciencedirect.com/science/publication?issn=00798169&volume=101Mevcut:*
Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
QA3 .P8 VOL. 101 EB | 1191293-1001 | Elsevier E-Kitap Koleksiyonu | Arıyor... |
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