Description |
1 online resource ([ix], 576 pages) : illustrations |
Series |
K & E series on knots and everything ; v. 50 |
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K & E series on knots and everything ; v. 50
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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.
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Differential topology.
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Form |
Electronic book
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Author |
Golubyatnikov, V. P. (Vladimir P.)
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Novikov, S. P. (Sergeĭ Petrovich)
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Taĭmanov, I. A. (Iskander Asanovich), 1961-
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World Scientific (Firm)
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ISBN |
9789814401319 (electronic bk.) |
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9814401315 (electronic bk.) |
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