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Topological library. Part 2, Characteristic classes and smooth structures on manifolds /

This is the second of a three-volume set collecting the original and now-classic works in topology written during the 1950s-1960s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of method...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Novikov, S. P. (Sergeĭ Petrovich), Taĭmanov, I. A. (Iskander Asanovich), 1961-
Formato: Electrónico eBook
Idioma:Inglés
Ruso
Multiple
Publicado: Hackensack, N.J. : World Scientific, ©2010.
Colección:K & E series on knots and everything ; v. 44.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Topological library.  |n Part 2,  |p Characteristic classes and smooth structures on manifolds /  |c editors, S.P. Novikov, I.A. Taimanov ; translated by V.O. Manturov. 
246 3 0 |a Characteristic classes and smooth structures on manifolds 
260 |a Hackensack, N.J. :  |b World Scientific,  |c ©2010. 
300 |a 1 online resource (xiv, 261 pages) :  |b illustrations 
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490 1 |a K & E series on knots and everything ;  |v v. 44 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
505 8 |a 10. Varying smooth structure and keeping the triangulation preserved. Morse surgeryChapter III. Corollaries and applications; 11. Smooth structures on Cartesian product of spheres; 12. Low-dimensional manifolds. Cases n = 4, 5, 6, 7; 13. Connected sum of a manifold with Milnor's sphere; 14. Normal bundles of smooth manifolds; Appendix 1. Homotopy type and Pontrjagin classes; Appendix 2. Combinatorial equivalence and Milnor's microbundle theory; Appendix 3. On groups ; Appendix 4. Embedding of homotopy spheres into Euclidean space and the suspension stable homomorphism 
505 8 |a Introduction 1. Formulation of results; 2. The proof scheme of main theorems; 3. A geometrical lemma; 4. An analog of the Hurewicz theorem; 5. The functor P = Homc and its application to the study of homology properties of degree one maps; 6. Stably freeness of kernel modules under the assumptions of Theorem 3; 7. The homology effect of a Morse surgery; 8. Proof of Theorem 3; 9. Proof of Theorem 6; 10. One generalization of Theorem 5; Appendix 1. On the signature formula; Appendix 2. Unsolved questions concerning characteristic class theory 
520 |a This is the second of a three-volume set collecting the original and now-classic works in topology written during the 1950s-1960s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated "singular homologies of fiber spaces." Sample Chapter(s) Chapter 1: On manifolds homeomorphic to the 7-sphere1 (153 KB) Contents: <ul><li>On Manifolds Homeomorphic to the 7-Sphere ) 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Characteristic classes. 
650 0 |a Differential topology. 
650 6 |a Classes caractéristiques. 
650 6 |a Topologie différentielle. 
650 7 |a MATHEMATICS  |x Topology.  |2 bisacsh 
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700 1 |a Novikov, S. P.  |q (Sergeĭ Petrovich) 
700 1 |a Taĭmanov, I. A.  |q (Iskander Asanovich),  |d 1961- 
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830 0 |a K & E series on knots and everything ;  |v v. 44. 
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