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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...
| Clasificación: | Libro Electrónico |
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| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [England] ; New York :
Cambridge University Press,
1992.
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| Colección: | London Mathematical Society lecture note series ;
176. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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