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Title Topological library. Part 3, Spectral sequences in topology / editors, S P Novikov, I A Taimanov ; translated by V P Golubyatnikov
Published Singapore ; Hackensack, N.J. : World Scientific Pub. Co., [2012]
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Description 1 online resource ([ix], 576 pages) : illustrations
Series K & E series on knots and everything ; v. 50
K & E series on knots and everything ; v. 50
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
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."
Bibliography Includes bibliographical references and index
Subject Algebraic topology.
Differential topology.
Form Electronic book
Author Golubyatnikov, V. P. (Vladimir P.)
Novikov, S. P. (Sergeĭ Petrovich)
Taĭmanov, I. A. (Iskander Asanovich), 1961-
World Scientific (Firm)
ISBN 9789814401319 (electronic bk.)
9814401315 (electronic bk.)