Adams Memorial Symposium on Algebraic Topology: Manchester 1990 / 2 :
J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two...
Gespeichert in:
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| Weitere Verfasser: | , |
| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [England] ; New York :
Cambridge University Press,
1992.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
176. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two volume work constitutes the proceedings of the symposium; the articles contained here range from overviews to reports of work still in progress, as well as a survey and complete bibliography of Adams' own work. These proceedings form an important compendium of current research in algebraic topology, and one that demonstrates the depth of Adams' many contributions to the subject. This second volume is oriented towards stable homotopy theory, the Steenrod algebra and the Adams spectral sequence. In the first volume the theme is mainly unstable homotopy theory, homological and categorical algebra. |
| Beschreibung: | Title from PDF title page (viewed on Apr. 9, 2013). |
| Beschreibung: | 1 online resource (xxiii, 305 pages) : illustrations. |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9781107361775 110736177X 9780511526312 0511526318 |
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| 245 | 1 | 0 | |a Adams Memorial Symposium on Algebraic Topology |n 2 : |b Manchester 1990 / |c edited by N. Ray and G. Walker. |
| 260 | |a Cambridge [England] ; |a New York : |b Cambridge University Press, |c 1992. | ||
| 300 | |a 1 online resource (xxiii, 305 pages) : |b illustrations. | ||
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 176 | |
| 500 | |a Title from PDF title page (viewed on Apr. 9, 2013). | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two volume work constitutes the proceedings of the symposium; the articles contained here range from overviews to reports of work still in progress, as well as a survey and complete bibliography of Adams' own work. These proceedings form an important compendium of current research in algebraic topology, and one that demonstrates the depth of Adams' many contributions to the subject. This second volume is oriented towards stable homotopy theory, the Steenrod algebra and the Adams spectral sequence. In the first volume the theme is mainly unstable homotopy theory, homological and categorical algebra. | ||
| 505 | 0 | |a Cover; Title; Copyright; Contents; Preface; 1 Progress report on the telescope conjecture; 1 Background; 2 Miller's proof for n = 1 and p > 2; 3 Difficulties for n = 2; 4 Computing the differentials ^(^,1); 5 A parametrized Adams spectral sequence; 6 Disproving the Telescope Conjecture; References; 2 On K*-local stable homotopy theory; 1 Introduction; 2 The classification of KO-module spectra; 3 The classification of AVlocal spectra; References; 3 Detruncating Morava K-theory; 1 Introduction; 2 The Hopf ring for E(n); 3 Lifting Results; 4 Concluding remarks; References | |
| 505 | 8 | |a 4 On the p-adic interpolation of stable homotopy groups1 Philosophy; 2 Picard groups; 3 Applications; 3.1 The generating hypothesis; 3,2 Interpolation of homotopy groups; References; 5. Some remarks on v1 -periodic homotopy groups; 1 A definition and some examples; 2 Proofs related to the definition; 3 Proofs related to the examples; References; 6. The unstable Novikov spectral sequence for Sp(n), and the power series sinh-1(x); 1 Statement of results; 2 Proofs of Theorems 1.1 and 1.2; 3 The 1-line for Sp(n); 4 Power series; References; 7. Unstable Adams spectral sequence charts; References. | |
| 505 | 8 | |a 2. The general construction of completions at /.3. Statements of results about the homotopy groups of completionsat /; 4. The Segal conjecture and the Atiyah-Segal completion theorem.; 5. Algebraic definitions and topological proofs.; 6. Algebraic proofs.; Appendix: localizations of G-spectra; Bibliography; 11 Theorems of Poisson, Euler and Bernouilli on the Adams spectral sequence; Introduction; 1. Testing the Poisson hypothesis; 2. The Euler characteristic; 3. Applications; References; Author's address; 12 Algebras over the Steenrod algebra and finite H-spaces; Reference | |
| 505 | 8 | |a 13 The boundedness conjecture for the action of the Steenrod algebra on polynomials1 Introduction; 2 The block notation; 3 The boundedness conjecture; References; 14 Representations of the homology of BV and the Steenrod algebra I; 1. Introduction; 2. The rings M(k) and L(k); 3. The proof of Theorem 2.11; 4. The action of GL(V) on Ln and Mn; References; 15 Generic representation theory and Lannes' T-functor; 1. Introduction; 2. Generic representation theory; 3. Generic representation theory and q; 4. The four properties of Tv; 5. New relationships between Properties A, B. and C | |
| 650 | 0 | |a Algebraic topology |v Congresses. | |
| 650 | 6 | |a Topologie algébrique |v Congrès. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Algebraic topology |2 fast | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Ray, Nigel, |d 1945- |1 https://id.oclc.org/worldcat/entity/E39PCjrxrqvFdxHygwJwd66fHK |0 http://id.loc.gov/authorities/names/n77003838 | |
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| contents | Cover; Title; Copyright; Contents; Preface; 1 Progress report on the telescope conjecture; 1 Background; 2 Miller's proof for n = 1 and p > 2; 3 Difficulties for n = 2; 4 Computing the differentials ^(^,1); 5 A parametrized Adams spectral sequence; 6 Disproving the Telescope Conjecture; References; 2 On K*-local stable homotopy theory; 1 Introduction; 2 The classification of KO-module spectra; 3 The classification of AVlocal spectra; References; 3 Detruncating Morava K-theory; 1 Introduction; 2 The Hopf ring for E(n); 3 Lifting Results; 4 Concluding remarks; References 4 On the p-adic interpolation of stable homotopy groups1 Philosophy; 2 Picard groups; 3 Applications; 3.1 The generating hypothesis; 3,2 Interpolation of homotopy groups; References; 5. Some remarks on v1 -periodic homotopy groups; 1 A definition and some examples; 2 Proofs related to the definition; 3 Proofs related to the examples; References; 6. The unstable Novikov spectral sequence for Sp(n), and the power series sinh-1(x); 1 Statement of results; 2 Proofs of Theorems 1.1 and 1.2; 3 The 1-line for Sp(n); 4 Power series; References; 7. Unstable Adams spectral sequence charts; References. 2. The general construction of completions at /.3. Statements of results about the homotopy groups of completionsat /; 4. The Segal conjecture and the Atiyah-Segal completion theorem.; 5. Algebraic definitions and topological proofs.; 6. Algebraic proofs.; Appendix: localizations of G-spectra; Bibliography; 11 Theorems of Poisson, Euler and Bernouilli on the Adams spectral sequence; Introduction; 1. Testing the Poisson hypothesis; 2. The Euler characteristic; 3. Applications; References; Author's address; 12 Algebras over the Steenrod algebra and finite H-spaces; Reference 13 The boundedness conjecture for the action of the Steenrod algebra on polynomials1 Introduction; 2 The block notation; 3 The boundedness conjecture; References; 14 Representations of the homology of BV and the Steenrod algebra I; 1. Introduction; 2. The rings M(k) and L(k); 3. The proof of Theorem 2.11; 4. The action of GL(V) on Ln and Mn; References; 15 Generic representation theory and Lannes' T-functor; 1. Introduction; 2. Generic representation theory; 3. Generic representation theory and q; 4. The four properties of Tv; 5. New relationships between Properties A, B. and C |
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| dewey-ones | 514 - Topology |
| dewey-raw | 514/.2 |
| dewey-search | 514/.2 |
| dewey-sort | 3514 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic Conference Proceeding eBook |
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Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two volume work constitutes the proceedings of the symposium; the articles contained here range from overviews to reports of work still in progress, as well as a survey and complete bibliography of Adams' own work. These proceedings form an important compendium of current research in algebraic topology, and one that demonstrates the depth of Adams' many contributions to the subject. This second volume is oriented towards stable homotopy theory, the Steenrod algebra and the Adams spectral sequence. 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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Adams Memorial Symposium on Algebraic Topology (1990 : Manchester, England) http://id.loc.gov/authorities/names/n93005100 Adams Memorial Symposium on Algebraic Topology 2 : Manchester 1990 / edited by N. Ray and G. Walker. Cambridge [England] ; New York : Cambridge University Press, 1992. 1 online resource (xxiii, 305 pages) : illustrations. text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 176 Title from PDF title page (viewed on Apr. 9, 2013). Includes bibliographical references. Print version record. J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two volume work constitutes the proceedings of the symposium; the articles contained here range from overviews to reports of work still in progress, as well as a survey and complete bibliography of Adams' own work. These proceedings form an important compendium of current research in algebraic topology, and one that demonstrates the depth of Adams' many contributions to the subject. This second volume is oriented towards stable homotopy theory, the Steenrod algebra and the Adams spectral sequence. In the first volume the theme is mainly unstable homotopy theory, homological and categorical algebra. Cover; Title; Copyright; Contents; Preface; 1 Progress report on the telescope conjecture; 1 Background; 2 Miller's proof for n = 1 and p > 2; 3 Difficulties for n = 2; 4 Computing the differentials ^(^,1); 5 A parametrized Adams spectral sequence; 6 Disproving the Telescope Conjecture; References; 2 On K*-local stable homotopy theory; 1 Introduction; 2 The classification of KO-module spectra; 3 The classification of AVlocal spectra; References; 3 Detruncating Morava K-theory; 1 Introduction; 2 The Hopf ring for E(n); 3 Lifting Results; 4 Concluding remarks; References 4 On the p-adic interpolation of stable homotopy groups1 Philosophy; 2 Picard groups; 3 Applications; 3.1 The generating hypothesis; 3,2 Interpolation of homotopy groups; References; 5. Some remarks on v1 -periodic homotopy groups; 1 A definition and some examples; 2 Proofs related to the definition; 3 Proofs related to the examples; References; 6. The unstable Novikov spectral sequence for Sp(n), and the power series sinh-1(x); 1 Statement of results; 2 Proofs of Theorems 1.1 and 1.2; 3 The 1-line for Sp(n); 4 Power series; References; 7. Unstable Adams spectral sequence charts; References. 2. The general construction of completions at /.3. Statements of results about the homotopy groups of completionsat /; 4. The Segal conjecture and the Atiyah-Segal completion theorem.; 5. Algebraic definitions and topological proofs.; 6. Algebraic proofs.; Appendix: localizations of G-spectra; Bibliography; 11 Theorems of Poisson, Euler and Bernouilli on the Adams spectral sequence; Introduction; 1. Testing the Poisson hypothesis; 2. The Euler characteristic; 3. Applications; References; Author's address; 12 Algebras over the Steenrod algebra and finite H-spaces; Reference 13 The boundedness conjecture for the action of the Steenrod algebra on polynomials1 Introduction; 2 The block notation; 3 The boundedness conjecture; References; 14 Representations of the homology of BV and the Steenrod algebra I; 1. Introduction; 2. The rings M(k) and L(k); 3. The proof of Theorem 2.11; 4. The action of GL(V) on Ln and Mn; References; 15 Generic representation theory and Lannes' T-functor; 1. Introduction; 2. Generic representation theory; 3. Generic representation theory and q; 4. The four properties of Tv; 5. New relationships between Properties A, B. and C Algebraic topology Congresses. Topologie algébrique Congrès. MATHEMATICS Topology. bisacsh Algebraic topology fast Conference papers and proceedings fast Ray, Nigel, 1945- https://id.oclc.org/worldcat/entity/E39PCjrxrqvFdxHygwJwd66fHK http://id.loc.gov/authorities/names/n77003838 Walker, G. (Grant) https://id.oclc.org/worldcat/entity/E39PCjvdxxgBvTjwgHB9Ty9yQy http://id.loc.gov/authorities/names/n93005093 has work: Volume 1 Adams Memorial Symposium on Algebraic Topology (Work) https://id.oclc.org/worldcat/entity/E39PCFRty7DJHqWrXpmhfRPRKd https://id.oclc.org/worldcat/ontology/hasWork Print version: Adams Memorial Symposium on Algebraic Topology (1990 : Manchester, England). Adams Memorial Symposium on Algebraic Topology. Cambridge [England] ; New York : Cambridge University Press, 1992 (DLC) 93104053 London Mathematical Society lecture note series ; 176. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552492 Volltext |
| spellingShingle | Adams Memorial Symposium on Algebraic Topology Manchester 1990 / London Mathematical Society lecture note series ; Cover; Title; Copyright; Contents; Preface; 1 Progress report on the telescope conjecture; 1 Background; 2 Miller's proof for n = 1 and p > 2; 3 Difficulties for n = 2; 4 Computing the differentials ^(^,1); 5 A parametrized Adams spectral sequence; 6 Disproving the Telescope Conjecture; References; 2 On K*-local stable homotopy theory; 1 Introduction; 2 The classification of KO-module spectra; 3 The classification of AVlocal spectra; References; 3 Detruncating Morava K-theory; 1 Introduction; 2 The Hopf ring for E(n); 3 Lifting Results; 4 Concluding remarks; References 4 On the p-adic interpolation of stable homotopy groups1 Philosophy; 2 Picard groups; 3 Applications; 3.1 The generating hypothesis; 3,2 Interpolation of homotopy groups; References; 5. Some remarks on v1 -periodic homotopy groups; 1 A definition and some examples; 2 Proofs related to the definition; 3 Proofs related to the examples; References; 6. The unstable Novikov spectral sequence for Sp(n), and the power series sinh-1(x); 1 Statement of results; 2 Proofs of Theorems 1.1 and 1.2; 3 The 1-line for Sp(n); 4 Power series; References; 7. Unstable Adams spectral sequence charts; References. 2. The general construction of completions at /.3. Statements of results about the homotopy groups of completionsat /; 4. The Segal conjecture and the Atiyah-Segal completion theorem.; 5. Algebraic definitions and topological proofs.; 6. Algebraic proofs.; Appendix: localizations of G-spectra; Bibliography; 11 Theorems of Poisson, Euler and Bernouilli on the Adams spectral sequence; Introduction; 1. Testing the Poisson hypothesis; 2. The Euler characteristic; 3. Applications; References; Author's address; 12 Algebras over the Steenrod algebra and finite H-spaces; Reference 13 The boundedness conjecture for the action of the Steenrod algebra on polynomials1 Introduction; 2 The block notation; 3 The boundedness conjecture; References; 14 Representations of the homology of BV and the Steenrod algebra I; 1. Introduction; 2. The rings M(k) and L(k); 3. The proof of Theorem 2.11; 4. The action of GL(V) on Ln and Mn; References; 15 Generic representation theory and Lannes' T-functor; 1. Introduction; 2. Generic representation theory; 3. Generic representation theory and q; 4. The four properties of Tv; 5. New relationships between Properties A, B. and C Algebraic topology Congresses. Topologie algébrique Congrès. MATHEMATICS Topology. bisacsh Algebraic topology fast |
| title | Adams Memorial Symposium on Algebraic Topology Manchester 1990 / |
| title_auth | Adams Memorial Symposium on Algebraic Topology Manchester 1990 / |
| title_exact_search | Adams Memorial Symposium on Algebraic Topology Manchester 1990 / |
| title_full | Adams Memorial Symposium on Algebraic Topology 2 : Manchester 1990 / edited by N. Ray and G. Walker. |
| title_fullStr | Adams Memorial Symposium on Algebraic Topology 2 : Manchester 1990 / edited by N. Ray and G. Walker. |
| title_full_unstemmed | Adams Memorial Symposium on Algebraic Topology 2 : Manchester 1990 / edited by N. Ray and G. Walker. |
| title_short | Adams Memorial Symposium on Algebraic Topology |
| title_sort | adams memorial symposium on algebraic topology manchester 1990 |
| title_sub | Manchester 1990 / |
| topic | Algebraic topology Congresses. Topologie algébrique Congrès. MATHEMATICS Topology. bisacsh Algebraic topology fast |
| topic_facet | Algebraic topology Congresses. Topologie algébrique Congrès. MATHEMATICS Topology. Algebraic topology Conference papers and proceedings |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552492 |
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