Topological library. Part 3, Spectral sequences in topology / editors, S.P. Novikov, I.A. Taimanov ; translated by V.P. Golubyatnikov.

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Material type: Text

TextLanguage: English Original language: Russian Series: K & E series on knots and everything ; v. 50.Publisher: Hackensack, N.J. : World Scientific, [2012]Description: 1 online resource (ix, 576 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9789814401319
9814401315

Subject(s): Genre/Form:

Additional physical formats: Print version:: Topological library.DDC classification:

514.2 23

LOC classification:

QA613.66 .T673 2012eb

Online resources:

Click here to access online

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."

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"Translattion of the Russian edition published in 2005."

Includes bibliographical references and index.

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."

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