Topological library. Part 3, Spectral sequences in topology /

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Bibliographic Details
Imprint:	Hackensack, N.J. : World Scientific, [2012]
Description:	1 online resource (ix, 576 pages) : illustrations.
Language:	English
Series:	K & E series on knots and everything ; vol. 50 K & E series on knots and everything ; v. 50.
Subject:	Cobordism theory. Characteristic classes. Differential topology. Algebraic topology. Spectral sequences (Mathematics) Characteristic classes. Cobordism theory. Differential topology. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11189988

Hidden Bibliographic Details
Other authors / contributors:	Novikov, S. P. (Sergeĭ Petrovich), editor. Taĭmanov, I. A. (Iskander Asanovich), 1961- editor. Golubyatnikov, V. P. (Vladimir P.), translator.
ISBN:	9789814401319 9814401315 9789812705594 9789814401302
Notes:	"Translattion of the Russian edition published in 2005." Includes bibliographical references and index.
Summary:	The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in 1950-60s. 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 fiber spaces."
Other form:	Print version: Topological library. Hackensack, N.J. : World Scientific, 2012

Table of Contents:

1. Singular homology of fiber spaces / J.-P. Serre
2. Homotopy groups and classes of abelian groups / J.-P. Serre
3. Cohomology modulo 2 of Eilenberg-MacLane complexes / J.-P. Serre
4. On cohomology of principal fiber bundles and homogeneous spaces of compact Lie groups / A. Borel
5. Cohomology mod 2 of some homogeneous spaces / A. Borel
6. The Steenrod algebra and its dual / J. Milnor
7. On the structure and applications of the Steenrod algebra / J. F. Adams
8. Vector bundles and homogeneous spaces / M. F. Atiyah and F. Hirzebruch
9. The methods of algebraic topology from viewpoint of cobordism theory / S. P. Novikov.

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