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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
World Scientific
2009.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000M 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn729020484 | ||
| 003 | OCoLC | ||
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| 245 | 0 | 0 | |a Topological Library - Part 2 : |b Characteristic Classes And Smooth Structures On Manifolds. |
| 260 | |b World Scientific |c 2009. | ||
| 300 | |a 1 online resource (280) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 505 | 0 | |a Cover13; -- Contents -- S.P. Novikovs Preface -- 1 J. Milnor. On manifolds homeomorphic to the 7-sphere -- 167; 1. The invariant 955;(M7) -- 167; 2. A partial characterization of the n-sphere -- 167; 3. Examples of 7-manifolds -- 167; 4. Miscellaneous results -- References -- 2 M. Kervaire and J. Milnor. Groups of homotopy spheres. I -- 167;1. Introduction -- 167; 2. Construction of the group 920;n -- 167; 3. Homotopy spheres are s-parallelizable -- 167; 4. Which homotopy spheres bound parallelizable manifolds? -- 167; 5. Spherical modifications -- 167; 6. Framed sphericalmodifications -- 167; 7. The groups bP2k -- 167; 8. A cohomology operation -- References -- 3 S.P. Novikov. Homotopically equivalent smooth manifolds -- Introduction -- Chapter I. The fundamental construction -- 167; 1. Morses surgery -- 167; 2. Relative 960;-manifolds -- 167; 3. The general construction -- 167; 4. Realization of classes -- 167; 5. The manifolds in one class -- 167; 6. Onemanifold in different classes -- Chapter II. Processing the results -- 167; 7. The Thom space of a normal bundle. Its homotopy structure -- 167; 8. Obstructions to a di.eomorphism of manifolds having the same homotopy type and a stable normal bundle -- 167; 9. Variation of a smooth structure keeping triangulation preserved -- 167; 10. Varying smooth structure and keeping the triangulation preserved. Morse surgery -- Chapter III. Corollaries and applications -- 167; 11. Smooth structures on Cartesian product of spheres -- 167; 12. Low-dimensional manifolds. Cases n = 4, 5, 6, 7 -- 167; 13. Connected sum of a manifold with Milnors sphere -- 167; 14. Normal bundles of smooth manifolds -- Appendix 1. Homotopy type and Pontrjagin classes -- Appendix 2. Combinatorial equivalence and Milnors microbundle theory -- Appendix 3. On groups -- Appendix 4. Embedding of homotopy spheres into Euclidean space and the suspension stable homomorphism -- References -- 4 S.P. Novikov. Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds -- Introduction -- 167; 1. Signature of a cycle and its properties -- 167; 2. The basic lemma -- 167; 3. Theorems on homotopy invariance. Generalized signature theorem -- 167; 4. The topological invariance theorem -- 167; 5. Consequences of the topological invariance theorem -- Appendix (V.A. Rokhlin). Diffeomorphisms of the manifold S2 215; S3 -- References -- 5 S.P. Novikov. On manifolds with free abelian fundamental group and their applications (Pontrjagin classes, smooth structures, high-dimensional knots) -- Introduction -- 167; 1. Formulation of results -- 167; 2. The proof scheme of main theorems -- 167; 3. A geometrical lemma -- 167; 4. An analog of the Hurewicz theorem -- 167; 5. The functor P = Homc and its application to the study of homology properties of degree one maps -- 167; 6. Stably freeness of kernel modules under the assumptions of Theorem 3 -- 167; 7. The homology effect of a Morse surgery -- 167; 8. Proof of Theorem 3 -- 167; 9. Proof of Theorem 6 -- 167; 10. One generalization of Theorem 5 -- Appendix 1. On the signature formula -- Appendix 2. Unsolved questions concerning characteristic class theory -- Appendix 3. Algebraic remarks about the functor P = Homc -- References -- 6 R. Kirby. Stable homeomorphisms and the annulus conjecture. | |
| 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-sphere 1 (153 KB). Contents: On Manifolds Homeomorphic to the 7-Sphere (J Milnor); Groups of Homotopy Sphe. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Cobordism theory. | |
| 650 | 0 | |a Characteristic classes. | |
| 650 | 0 | |a Differential topology. | |
| 650 | 6 | |a Théorie des cobordismes. | |
| 650 | 6 | |a Classes caractéristiques. | |
| 650 | 6 | |a Topologie différentielle. | |
| 650 | 7 | |a Characteristic classes |2 fast | |
| 650 | 7 | |a Cobordism theory |2 fast | |
| 650 | 7 | |a Differential topology |2 fast | |
| 655 | 4 | |a Electronic resource. | |
| 720 | |a Novikov S P Et Al. | ||
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1679564 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH24686163 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL1679564 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 276067 | ||
| 994 | |a 92 |b IZTAP | ||