Cobordisms and their applications

edited by S.P. Novikov, I.A. Taimanov ; translated by V.O. Manturov

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.

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  • 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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書名 Cobordisms and their applications
著作者等 Novikov, Sergeĭ Petrovich
Taĭmanov, I. A.
Taimanov I. A.
Novikov I.S.
シリーズ名 Series on knots and everything
出版元 World Scientific
刊行年月 c2007
ページ数 xiv, 369 p.
大きさ 24 cm
ISBN 9789812705594
NCID BA82818427
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言語 英語
出版国 アメリカ合衆国