Cobordisms and their applications
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Bibliographic Information
Cobordisms and their applications
(Series on knots and everything, v. 39 . Topological library ; 1)
World Scientific, c2007
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This is the first of three volumes collecting the original and now classic works in topology written in the 50s-60s. 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 fibre spaces.”This is the translation of the Russian edition published in 2005 with one entry (Milnor's lectures on the h-cobordism) omitted.
Table of Contents
- Smooth Manifolds and Their Applications in Homotopy Theory (L S Pontrjagin)
- Some Global Properties of Differentiable Manifolds (R Thom)
- Homotopy Properties of Thom Complexes (S P Novikov)
- Generalized Poincare's Conjecture in Dimension Greater Than Four (S Smale)
- On the Structure of Manifolds (S Smale)
- On the Formal Group Laws in Unoriented and Complex Cobordism Theory (D Quillen)
- Formal Groups and Their Role in the Algebraic Topology Approach (V M Buchstaber, A S Mishchenko & S P Novikov)
- Formal Groups, Power Systems and Adams Operators (V M Buchstaber & S P Novikov).
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