LEADER 04066nam 2200589 450 001 9910788847003321 005 20170822144434.0 010 $a1-4704-0348-X 035 $a(CKB)3360000000464939 035 $a(EBL)3114403 035 $a(SSID)ssj0000973472 035 $a(PQKBManifestationID)11537980 035 $a(PQKBTitleCode)TC0000973472 035 $a(PQKBWorkID)10961189 035 $a(PQKB)10510041 035 $a(MiAaPQ)EBC3114403 035 $a(RPAM)12747206 035 $a(PPN)195416414 035 $a(EXLCZ)993360000000464939 100 $a20020418d2002 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aEquivariant orthogonal spectra and S-modules /$fM.A. Mandell, J.P. May 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2002. 215 $a1 online resource (125 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 755 300 $a"Volume 159, number 755 (second of 5 numbers)." 311 $a0-8218-2936-X 320 $aIncludes bibliographical references and index. 327 $a""Contents""; ""Introduction""; ""Chapter I. Orthogonal spectra and S-modules""; ""1. Introduction and statements of results""; ""2. Right exact functors on categories of diagram spaces""; ""3. The proofs of the comparison theorems""; ""4. Further Quillen equivalences and homotopical preliminaries""; ""5. Model structures and homotopical proofs""; ""6. The construction of the functor N*""; ""7. The functor M and its comparison with N""; ""8. A revisionist view of infinite loop space theory""; ""Chapter II. Equivariant orthogonal spectra""; ""1. Preliminaries on equivariant categories"" 327 $a""2. The definition of orthogonal G-spectra""""3. The smash product of orthogonal G-spectra""; ""4. A description of orthogonal G-spectra as diagram G-spaces""; ""Chapter III. Model categories of orthogonal G-spaces""; ""1. The model structure on G-spaces""; ""2. The level model structure on orthogonal G-spectra""; ""3. The homotopy groups of G-prespectra""; ""4. The stable model structure on orthogonal G-spectra""; ""5. The positive stable model structure""; ""6. Stable equivalences of orthogonal G-spectra""; ""7. Model categories of ring and module G-spectra"" 327 $a""8. The model category of commutative ring G-spectra""""9. Level equivalences and I??[sub(*)]-isomorphisms of I?©-G-spectra""; ""Chapter IV. Orthogonal G-spectra and S[sub(G)]-modules""; ""1. Introduction and statements of results""; ""2. Model structures on the category of S[sub(G)]-modules""; ""3. The construction of the functors N and N[sup(#)]""; ""4. The proofs of the comparison theorems""; ""5. The functor M and its comparison with N""; ""6. Families, cofamilies, and Bousfield localization""; ""Chapter V. ""Change"" functors for orthogonal G-spectra""; ""1. Change of universe"" 327 $a""2. Change of groups""""3. Fixed point and orbit spectra""; ""4. Geometric fixed point spectra""; ""Chapter VI. ""Change"" functors for S[sub(G)]-modules and comparisons""; ""1. Comparisons of change of group functors""; ""2. Comparisons of change of universe functors""; ""3. Comparisons of fixed point and orbit G-spectra functors""; ""4. N-free G-spectra and the Adams isomorphism""; ""5. The geometric fixed point functor and quotient groups""; ""6. Technical results on the unit map I?»:JE [omitted] E""; ""Bibliography""; ""Index of Notation"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 755. 606 $aHomotopy theory 606 $aCategories (Mathematics) 615 0$aHomotopy theory. 615 0$aCategories (Mathematics) 676 $a510 s 676 $a514/.24 700 $aMandell$b M. A.$f1970-$01566864 702 $aMay$b J. Peter 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788847003321 996 $aEquivariant orthogonal spectra and S-modules$93837798 997 $aUNINA