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Topological library. Part 2, Characteristic classes and smooth structures on manifolds / editors, S.P. Novikov, I.A. Taimanov ; translated by V.O. Manturov.

Contributor(s): Material type: TextTextLanguage: English Original language: Russian, Multiple languages Series: K & E series on knots and everything ; v. 44.Publication details: Hackensack, N.J. : World Scientific, ©2010.Description: 1 online resource (xiv, 261 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9789812836878
  • 981283687X
Other title:
  • Characteristic classes and smooth structures on manifolds
Subject(s): Additional physical formats: Print version:: Topological library.DDC classification:
  • 514/.72 22
LOC classification:
  • QA613.66 .T67eb vol. 2
Online resources:
Contents:
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
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
Summary: 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 )
Holdings
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eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

Includes bibliographical references and index.

Print version record.

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

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

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 )

Added to collection customer.56279.3

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