Format:
Online Ressource (xii, 371 pages)
,
illustrations.
Edition:
Elsevier e-book collection on ScienceDirect Electronic reproduction; Mode of access: World Wide Web
ISBN:
9780125293013
,
0125293011
,
9780080874203
,
0080874207
Series Statement:
Pure and applied mathematics 101,1
Content:
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
Content:
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
Content:
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
Content:
Vector bundles - Vol 1
Note:
Includes bibliographical references and index. - Print version record
,
v. 1. Foundations and Stiefel-Whitney classes
,
Electronic reproduction; Mode of access: World Wide Web
,
English
Additional Edition:
ISBN 0125293011
Additional Edition:
Erscheint auch als Druck-Ausgabe Osborn, Howard Vector bundles ; 1: Foundations and Stiefel-Whitney Classes New York, NY [u.a.] : Academic Press, 1982 ISBN 0125293011
Language:
English
Subjects:
Mathematics
Keywords:
Electronic books
;
Electronic books
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