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Homotopy methods in algebraic topology : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999 / / J.P.C. Greenlees, with assistance from Robert R. Bruner, Nicholas Kuhn, editors
| Homotopy methods in algebraic topology : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999 / / J.P.C. Greenlees, with assistance from Robert R. Bruner, Nicholas Kuhn, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (369 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Algebraic topology
Homotopy theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7861-1
0-8218-2621-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Speakers""; ""Participants""; ""Conference photo""; ""A brief introduction to the work of J. Peter May, on the occasion of his 60th birthday""; ""Mathematical ancestry of J. Peter May""; ""On the Adams E2-term for elliptic cohomology""; ""Mapping class groups and function spaces""; ""Extended powers of manifolds and the Adams spectral sequence""; ""Centers and Coxeter elements""; ""On the homotopy type of the loops on a 2-cell complex""; ""Rational SO(3)-equivariant cohomology theories""; ""1. Introduction.""; ""2. The closed subgroups of 80(3).""
""3. Burnside splitting.""""4. Stable isotropy groups.""; ""5. Free G-spectra.""; ""6. Reduction to normalizers.""; ""7. The algebraic model of the category of (G, c)-spectra.""; ""8. The fibres.""; ""9. Mackey functors.""; ""10. The ordinary part of the model.""; ""11. Reduction to the Weyl group.""; ""References""; ""On the K-theory of nilpotent endomorphisms""; ""The Ext0-term of the real-oriented Adams-Novikov spectral sequence""; ""Toral groups and classifying spaces of p-compact groups""; ""Stable splittings and the diagonal""; ""Dual calculus for functors to spectra"" ""The triple loop space approach to the telescope conjecture""""1. The telescope conjecture and Bousfield localization""; ""1.1. Telescopes""; ""1.2. Bousfield localization and Bousfield classes""; ""1.3. The telescope conjecture""; ""1.4. Some other open questions""; ""2. Some variants of the Adams spectral sequence""; ""2.1. The classical Adams spectral sequence""; ""2.2. The Adams-Novikov spectral sequence""; ""2.3. The localized Adams spectral sequence""; ""2.4. The Thomified Eilenberg-Moore spectral sequence""; ""2.5. Hopf algebras and localized Ext groups"" ""3. The spectra y(n) and Y (n)""""3.1. The EHP sequence and some Thorn spectra""; ""3.2. The homotopy of Lny(n) and Y(n)""; ""3.3. The triple loop space""; ""4. Properties of Ω3 S1+2Pn""; ""4.1. The Snaith splitting""; ""4.2. Ordinary homology""; ""4.3. Morava K-theory""; ""4.4. The computation of Y(n)*(Ω3S1+2Pn) via the Eilenberg-Moore spectral sequence""; ""5. Toward a proof of the differentials conjecture""; ""5.1. The E2-term of the localized Thomified Eilenberg-Moore spectral sequence""; ""5.2. Short differentials""; ""5.3. Excluding spurious differentials""; ""References"" |
| Record Nr. | UNINA-9910480452703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Homotopy methods in algebraic topology : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999 / / J.P.C. Greenlees, with assistance from Robert R. Bruner, Nicholas Kuhn, editors
| Homotopy methods in algebraic topology : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999 / / J.P.C. Greenlees, with assistance from Robert R. Bruner, Nicholas Kuhn, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (369 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Algebraic topology
Homotopy theory |
| ISBN |
0-8218-7861-1
0-8218-2621-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Speakers""; ""Participants""; ""Conference photo""; ""A brief introduction to the work of J. Peter May, on the occasion of his 60th birthday""; ""Mathematical ancestry of J. Peter May""; ""On the Adams E2-term for elliptic cohomology""; ""Mapping class groups and function spaces""; ""Extended powers of manifolds and the Adams spectral sequence""; ""Centers and Coxeter elements""; ""On the homotopy type of the loops on a 2-cell complex""; ""Rational SO(3)-equivariant cohomology theories""; ""1. Introduction.""; ""2. The closed subgroups of 80(3).""
""3. Burnside splitting.""""4. Stable isotropy groups.""; ""5. Free G-spectra.""; ""6. Reduction to normalizers.""; ""7. The algebraic model of the category of (G, c)-spectra.""; ""8. The fibres.""; ""9. Mackey functors.""; ""10. The ordinary part of the model.""; ""11. Reduction to the Weyl group.""; ""References""; ""On the K-theory of nilpotent endomorphisms""; ""The Ext0-term of the real-oriented Adams-Novikov spectral sequence""; ""Toral groups and classifying spaces of p-compact groups""; ""Stable splittings and the diagonal""; ""Dual calculus for functors to spectra"" ""The triple loop space approach to the telescope conjecture""""1. The telescope conjecture and Bousfield localization""; ""1.1. Telescopes""; ""1.2. Bousfield localization and Bousfield classes""; ""1.3. The telescope conjecture""; ""1.4. Some other open questions""; ""2. Some variants of the Adams spectral sequence""; ""2.1. The classical Adams spectral sequence""; ""2.2. The Adams-Novikov spectral sequence""; ""2.3. The localized Adams spectral sequence""; ""2.4. The Thomified Eilenberg-Moore spectral sequence""; ""2.5. Hopf algebras and localized Ext groups"" ""3. The spectra y(n) and Y (n)""""3.1. The EHP sequence and some Thorn spectra""; ""3.2. The homotopy of Lny(n) and Y(n)""; ""3.3. The triple loop space""; ""4. Properties of Ω3 S1+2Pn""; ""4.1. The Snaith splitting""; ""4.2. Ordinary homology""; ""4.3. Morava K-theory""; ""4.4. The computation of Y(n)*(Ω3S1+2Pn) via the Eilenberg-Moore spectral sequence""; ""5. Toward a proof of the differentials conjecture""; ""5.1. The E2-term of the localized Thomified Eilenberg-Moore spectral sequence""; ""5.2. Short differentials""; ""5.3. Excluding spurious differentials""; ""References"" |
| Record Nr. | UNINA-9910788654803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Homotopy methods in algebraic topology : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999 / / J.P.C. Greenlees, with assistance from Robert R. Bruner, Nicholas Kuhn, editors
| Homotopy methods in algebraic topology : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999 / / J.P.C. Greenlees, with assistance from Robert R. Bruner, Nicholas Kuhn, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (369 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Algebraic topology
Homotopy theory |
| ISBN |
0-8218-7861-1
0-8218-2621-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Speakers""; ""Participants""; ""Conference photo""; ""A brief introduction to the work of J. Peter May, on the occasion of his 60th birthday""; ""Mathematical ancestry of J. Peter May""; ""On the Adams E2-term for elliptic cohomology""; ""Mapping class groups and function spaces""; ""Extended powers of manifolds and the Adams spectral sequence""; ""Centers and Coxeter elements""; ""On the homotopy type of the loops on a 2-cell complex""; ""Rational SO(3)-equivariant cohomology theories""; ""1. Introduction.""; ""2. The closed subgroups of 80(3).""
""3. Burnside splitting.""""4. Stable isotropy groups.""; ""5. Free G-spectra.""; ""6. Reduction to normalizers.""; ""7. The algebraic model of the category of (G, c)-spectra.""; ""8. The fibres.""; ""9. Mackey functors.""; ""10. The ordinary part of the model.""; ""11. Reduction to the Weyl group.""; ""References""; ""On the K-theory of nilpotent endomorphisms""; ""The Ext0-term of the real-oriented Adams-Novikov spectral sequence""; ""Toral groups and classifying spaces of p-compact groups""; ""Stable splittings and the diagonal""; ""Dual calculus for functors to spectra"" ""The triple loop space approach to the telescope conjecture""""1. The telescope conjecture and Bousfield localization""; ""1.1. Telescopes""; ""1.2. Bousfield localization and Bousfield classes""; ""1.3. The telescope conjecture""; ""1.4. Some other open questions""; ""2. Some variants of the Adams spectral sequence""; ""2.1. The classical Adams spectral sequence""; ""2.2. The Adams-Novikov spectral sequence""; ""2.3. The localized Adams spectral sequence""; ""2.4. The Thomified Eilenberg-Moore spectral sequence""; ""2.5. Hopf algebras and localized Ext groups"" ""3. The spectra y(n) and Y (n)""""3.1. The EHP sequence and some Thorn spectra""; ""3.2. The homotopy of Lny(n) and Y(n)""; ""3.3. The triple loop space""; ""4. Properties of Ω3 S1+2Pn""; ""4.1. The Snaith splitting""; ""4.2. Ordinary homology""; ""4.3. Morava K-theory""; ""4.4. The computation of Y(n)*(Ω3S1+2Pn) via the Eilenberg-Moore spectral sequence""; ""5. Toward a proof of the differentials conjecture""; ""5.1. The E2-term of the localized Thomified Eilenberg-Moore spectral sequence""; ""5.2. Short differentials""; ""5.3. Excluding spurious differentials""; ""References"" |
| Record Nr. | UNINA-9910812585003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||