Topological library.: Part 3, Spectral sequences in topology /
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 ensem...
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| Weitere Verfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English Russian |
| Veröffentlicht: |
Hackensack, N.J. :
World Scientific,
[2012]
|
| Schriftenreihe: | K & E series on knots and everything ;
v. 50. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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." |
| Beschreibung: | "Translattion of the Russian edition published in 2005." |
| Beschreibung: | 1 online resource (ix, 576 pages) : illustrations. |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789814401319 9814401315 |
Internformat
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| 245 | 0 | 0 | |a Topological library. |n Part 3, |p Spectral sequences in topology / |c editors, S.P. Novikov, I.A. Taimanov ; translated by V.P. Golubyatnikov. |
| 264 | 1 | |a Hackensack, N.J. : |b World Scientific, |c [2012] | |
| 300 | |a 1 online resource (ix, 576 pages) : |b illustrations. | ||
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| 500 | |a "Translattion of the Russian edition published in 2005." | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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. | |
| 520 | |a 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." | ||
| 650 | 0 | |a Cobordism theory. |0 http://id.loc.gov/authorities/subjects/sh85027549 | |
| 650 | 0 | |a Characteristic classes. |0 http://id.loc.gov/authorities/subjects/sh85022622 | |
| 650 | 0 | |a Differential topology. |0 http://id.loc.gov/authorities/subjects/sh85037923 | |
| 650 | 0 | |a Algebraic topology. |0 http://id.loc.gov/authorities/subjects/sh85003438 | |
| 650 | 0 | |a Spectral sequences (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85126406 | |
| 650 | 6 | |a Théorie des cobordismes. | |
| 650 | 6 | |a Classes caractéristiques. | |
| 650 | 6 | |a Topologie différentielle. | |
| 650 | 6 | |a Topologie algébrique. | |
| 650 | 6 | |a Suites spectrales (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Spectral sequences (Mathematics) |2 fast | |
| 650 | 7 | |a Algebraic topology |2 fast | |
| 650 | 7 | |a Characteristic classes |2 fast | |
| 650 | 7 | |a Cobordism theory |2 fast | |
| 650 | 7 | |a Differential topology |2 fast | |
| 700 | 1 | |a Novikov, S. P. |q (Sergeĭ Petrovich), |e editor. |1 https://id.oclc.org/worldcat/entity/E39PBJrKQc8HftgygRPHQGrXh3 |0 http://id.loc.gov/authorities/names/n80163746 | |
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| 700 | 1 | |a Golubyatnikov, V. P. |q (Vladimir P.), |e translator. |1 https://id.oclc.org/worldcat/entity/E39PCjv4JYgjBgctrg4XfY63gq |0 http://id.loc.gov/authorities/names/n2001015729 | |
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| author2 | Novikov, S. P. (Sergeĭ Petrovich) Taĭmanov, I. A. (Iskander Asanovich), 1961- Golubyatnikov, V. P. (Vladimir P.) |
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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. |
| ctrlnum | (OCoLC)847000250 |
| dewey-full | 514.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
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| dewey-sort | 3514.2 |
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| discipline | Mathematik |
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| id | ZDB-4-EBA-ocn847000250 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:22Z |
| institution | BVB |
| isbn | 9789814401319 9814401315 |
| language | English Russian |
| oclc_num | 847000250 |
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| physical | 1 online resource (ix, 576 pages) : illustrations. |
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| publishDate | 2012 |
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| publisher | World Scientific, |
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| series | K & E series on knots and everything ; |
| series2 | K & E series on knots and everything ; |
| spelling | Topological library. Part 3, Spectral sequences in topology / editors, S.P. Novikov, I.A. Taimanov ; translated by V.P. Golubyatnikov. Hackensack, N.J. : World Scientific, [2012] 1 online resource (ix, 576 pages) : illustrations. text txt rdacontent computer c rdamedia online resource cr rdacarrier K & E series on knots and everything ; vol. 50 "Translattion of the Russian edition published in 2005." Includes bibliographical references and index. 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. 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." Cobordism theory. http://id.loc.gov/authorities/subjects/sh85027549 Characteristic classes. http://id.loc.gov/authorities/subjects/sh85022622 Differential topology. http://id.loc.gov/authorities/subjects/sh85037923 Algebraic topology. http://id.loc.gov/authorities/subjects/sh85003438 Spectral sequences (Mathematics) http://id.loc.gov/authorities/subjects/sh85126406 Théorie des cobordismes. Classes caractéristiques. Topologie différentielle. Topologie algébrique. Suites spectrales (Mathématiques) MATHEMATICS Topology. bisacsh Spectral sequences (Mathematics) fast Algebraic topology fast Characteristic classes fast Cobordism theory fast Differential topology fast Novikov, S. P. (Sergeĭ Petrovich), editor. https://id.oclc.org/worldcat/entity/E39PBJrKQc8HftgygRPHQGrXh3 http://id.loc.gov/authorities/names/n80163746 Taĭmanov, I. A. (Iskander Asanovich), 1961- editor. https://id.oclc.org/worldcat/entity/E39PBJbxyDFF8GtgtbqxcXrg8C http://id.loc.gov/authorities/names/n2006040009 Golubyatnikov, V. P. (Vladimir P.), translator. https://id.oclc.org/worldcat/entity/E39PCjv4JYgjBgctrg4XfY63gq http://id.loc.gov/authorities/names/n2001015729 has work: Topological library (Text) https://id.oclc.org/worldcat/entity/E39PCFR8xtH3Qc7WMkF4V6MkjC https://id.oclc.org/worldcat/ontology/hasWork Print version: Topological library. Hackensack, N.J. : World Scientific, 2012 (DLC) 2007016753 K & E series on knots and everything ; v. 50. http://id.loc.gov/authorities/names/n91052105 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=579484 Volltext |
| spellingShingle | Topological library. K & E series on knots and everything ; 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. Cobordism theory. http://id.loc.gov/authorities/subjects/sh85027549 Characteristic classes. http://id.loc.gov/authorities/subjects/sh85022622 Differential topology. http://id.loc.gov/authorities/subjects/sh85037923 Algebraic topology. http://id.loc.gov/authorities/subjects/sh85003438 Spectral sequences (Mathematics) http://id.loc.gov/authorities/subjects/sh85126406 Théorie des cobordismes. Classes caractéristiques. Topologie différentielle. Topologie algébrique. Suites spectrales (Mathématiques) MATHEMATICS Topology. bisacsh Spectral sequences (Mathematics) fast Algebraic topology fast Characteristic classes fast Cobordism theory fast Differential topology fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85027549 http://id.loc.gov/authorities/subjects/sh85022622 http://id.loc.gov/authorities/subjects/sh85037923 http://id.loc.gov/authorities/subjects/sh85003438 http://id.loc.gov/authorities/subjects/sh85126406 |
| title | Topological library. |
| title_auth | Topological library. |
| title_exact_search | Topological library. |
| title_full | Topological library. Part 3, Spectral sequences in topology / editors, S.P. Novikov, I.A. Taimanov ; translated by V.P. Golubyatnikov. |
| title_fullStr | Topological library. Part 3, Spectral sequences in topology / editors, S.P. Novikov, I.A. Taimanov ; translated by V.P. Golubyatnikov. |
| title_full_unstemmed | Topological library. Part 3, Spectral sequences in topology / editors, S.P. Novikov, I.A. Taimanov ; translated by V.P. Golubyatnikov. |
| title_short | Topological library. |
| title_sort | topological library spectral sequences in topology |
| topic | Cobordism theory. http://id.loc.gov/authorities/subjects/sh85027549 Characteristic classes. http://id.loc.gov/authorities/subjects/sh85022622 Differential topology. http://id.loc.gov/authorities/subjects/sh85037923 Algebraic topology. http://id.loc.gov/authorities/subjects/sh85003438 Spectral sequences (Mathematics) http://id.loc.gov/authorities/subjects/sh85126406 Théorie des cobordismes. Classes caractéristiques. Topologie différentielle. Topologie algébrique. Suites spectrales (Mathématiques) MATHEMATICS Topology. bisacsh Spectral sequences (Mathematics) fast Algebraic topology fast Characteristic classes fast Cobordism theory fast Differential topology fast |
| topic_facet | Cobordism theory. Characteristic classes. Differential topology. Algebraic topology. Spectral sequences (Mathematics) Théorie des cobordismes. Classes caractéristiques. Topologie différentielle. Topologie algébrique. Suites spectrales (Mathématiques) MATHEMATICS Topology. Algebraic topology Characteristic classes Cobordism theory Differential topology |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=579484 |
| work_keys_str_mv | AT novikovsp topologicallibrarypart3 AT taimanovia topologicallibrarypart3 AT golubyatnikovvp topologicallibrarypart3 |