Topological library. Part 1, Cobordisms and their applications /

Saved in:

Bibliographic Details
Imprint:	Singapore ; London : World Scientific, 2007.
Description:	1 online resource.
Language:	English
Series:	Series on knots and everything ; 39 K & E series on knots and everything ; 39.
Subject:	Cobordism theory. Cobordism theory. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11283678

Hidden Bibliographic Details
Varying Form of Title:	Cobordisms and their applications
Other authors / contributors:	Novikov, S. P. (Sergeĭ Petrovich) Taĭmanov, I. A. (Iskander Asanovich), 1961-
ISBN:	9789812772107 9812772103
Notes:	Includes bibliographical references and index. Translated from the Russian.
Summary:	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:

1. L.S. Pontrjagin. Smooth manifolds and their applications in homotopy theory
Introduction
ch. I. Smooth manifolds and their maps
ch. II. Framed manifolds
ch. III. The Hopf invariant
ch. IV. Classification of mappings
2. R. Thom. Some "global" properties ofdifferentiable manifolds / translated by V.O. Manturov with M.M. Postnikov's comments. Introduction. ch. I. Properties of differentiable mappings. ch. II. Submanifolds and homology classes ofa manifold. ch. III. On Steenrods problem. ch. IV. Cobordant differentiable manifolds
3. S.P. Novikov. Homotopy properties of Thom complexes / translated by V.O. Manturov. Introduction. ch. I. Thom's spaces. ch. II. Inner honology rings. ch. III. Realization of cycles
4. Generalized Poincare's conjecture in dimensions greater than four
5. On the structure of manifolds
6. On the formal group laws of unoriented and complex cobordism theory
7. Formal groups and their role in algebraic topology approach / translated by V.O. Manturov
8. Formal groups, power systems and Adams operators / translated by M.L. Glasser.

Similar Items