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

• Record Nr.: UNINA9910480452703321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2001]; ©2001
• ISBN: 0-8218-7861-1; 0-8218-2621-2
• Descrizione fisica: 1 online resource (369 p.)
• Collana: Contemporary mathematics, , 0271-4132 ; ; 271
• Disciplina: 514/.2
• Soggetti: Algebraic topology; Homotopy theory; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• 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""