Topological library
by Golubyatnikov, V. P., (Vladimir P.) Novikov, S. P., (Sergeĭ Petrovich) Taĭmanov, I. A., (Iskander Asanovich)
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."
Read More ↓Title Statements
- Full title :Topological library. / editors, S.P. Novikov, I.A. Taimanov ; translated by V.P. Golubyatnikov.
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."
Read More ↓Edition Statements
- Publication Date:2012
Publication Statements
- Publisher(s):World Scientific
- Place of Publication:Hackensack, N.J
- Language:eng
- Publication Date:2012
Notes
"Translattion of the Russian edition published in 2005."
The Physical Object
- Description:1 online resource (ix, 576 pages) : : illustrations.
Edition Identifiers
- ISBN:9789814401319, 9814401315
- oclc:ocn847000250
- LC Classification:QA613.66
- Dewey Decimal:514.2
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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Topological Library: Part 1: Cobordisms and Their…
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