LEADER 04425nam 2200613 450 001 9910812585003321 005 20180613001237.0 010 $a0-8218-7861-1 010 $a0-8218-2621-2 035 $a(CKB)3240000000069798 035 $a(EBL)3112916 035 $a(SSID)ssj0000629342 035 $a(PQKBManifestationID)11397912 035 $a(PQKBTitleCode)TC0000629342 035 $a(PQKBWorkID)10732595 035 $a(PQKB)11513705 035 $a(MiAaPQ)EBC3112916 035 $a(RPAM)12212559 035 $a(PPN)19710598X 035 $a(EXLCZ)993240000000069798 100 $a20001027h20012001 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aHomotopy methods in algebraic topology $eproceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20-24, 1999 /$fJ.P.C. Greenlees, with assistance from Robert R. Bruner, Nicholas Kuhn, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2001] 210 4$d©2001 215 $a1 online resource (369 p.) 225 1 $aContemporary mathematics,$x0271-4132 ;$v271 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references. 327 $a""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)."" 327 $a""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"" 327 $a""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"" 327 $a""3. The spectra y(n) and Y (n)""""3.1. The EHP sequence and some Thorn spectra""; ""3.2. The homotopy of Lny(n) and Y(n)""; ""3.3. The triple loop space""; ""4. Properties of I?©3 S1+2Pn""; ""4.1. The Snaith splitting""; ""4.2. Ordinary homology""; ""4.3. Morava K-theory""; ""4.4. The computation of Y(n)*(I?©3S1+2Pn) via the Eilenberg-Moore spectral sequence""; ""5. Toward a proof of the differentials conjecture""; ""5.1. The E2-term of the localized Thomified Eilenberg-Moore spectral sequence""; ""5.2. Short differentials""; ""5.3. Excluding spurious differentials""; ""References"" 410 0$aContemporary mathematics (American Mathematical Society) ;$v271. 606 $aAlgebraic topology$vCongresses 606 $aHomotopy theory$vCongresses 615 0$aAlgebraic topology 615 0$aHomotopy theory 676 $a514/.2 702 $aGreenlees$b J. P. C$g(John Patrick Campbell),$f1959- 702 $aBruner$b R. R$g(Robert Ray),$f1950- 702 $aKuhn$b Nicholas J$g(Nicholas John),$f1955- 712 12$aConference on Homotopy Methods in Algebraic Topology$f(1999 :$eBoulder, Colo.), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910812585003321 996 $aHomotopy methods in algebraic topology$93938395 997 $aUNINA