04428nam 2200613 450 991048045270332120180613001237.00-8218-7861-10-8218-2621-2(CKB)3240000000069798(EBL)3112916(SSID)ssj0000629342(PQKBManifestationID)11397912(PQKBTitleCode)TC0000629342(PQKBWorkID)10732595(PQKB)11513705(MiAaPQ)EBC3112916(PPN)19710598X(EXLCZ)99324000000006979820001027h20012001 uy| 0engur|n|---|||||txtccrHomotopy 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, editorsProvidence, Rhode Island :American Mathematical Society,[2001]©20011 online resource (369 p.)Contemporary mathematics,0271-4132 ;271Description based upon print version of record.Includes bibliographical references.""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""Contemporary mathematics (American Mathematical Society) ;271.Algebraic topologyCongressesHomotopy theoryCongressesElectronic books.Algebraic topologyHomotopy theory514/.2Greenlees J. P. C(John Patrick Campbell),1959-Bruner R. R(Robert Ray),1950-Kuhn Nicholas J(Nicholas John),1955-Conference on Homotopy Methods in Algebraic Topology(1999 :Boulder, Colo.),MiAaPQMiAaPQMiAaPQBOOK9910480452703321Homotopy methods in algebraic topology2295018UNINA