LEADER 03974nam 2200565 450 001 9910788756203321 005 20170816143335.0 010 $a1-4704-0122-3 035 $a(CKB)3360000000464727 035 $a(EBL)3113998 035 $a(SSID)ssj0000888959 035 $a(PQKBManifestationID)11478241 035 $a(PQKBTitleCode)TC0000888959 035 $a(PQKBWorkID)10866005 035 $a(PQKB)10309619 035 $a(MiAaPQ)EBC3113998 035 $a(RPAM)4907647 035 $a(PPN)195414268 035 $a(EXLCZ)993360000000464727 100 $a20140908h19951995 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeneralized Tate cohomology /$fJ. P. C. Greenlees, J. P. May 210 1$aProvidence, Rhode Island, United States :$cAmerican Mathematical Society,$d1995. 210 4$dİ1995 215 $a1 online resource (193 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 113, Number 543 300 $a"January 1995, Volume 113, Number 543 (third of 4 numbers)"--Cover. 311 $a0-8218-2603-4 320 $aIncludes bibliographical references and index. 327 $a""Contents""; ""Introduction""; ""Part I: General theory""; ""A?0. Preamble: definitions, change of universe, and split G-spectra""; ""A?1. Invariance properties of the functors f,c, and t""; ""A?2. Basic properties of the theories represented by f(k[sub(G)]), c(k[sub(G)]), and t(k[sub(G)])""; ""A?3. Homotopical behavior of the functors f,c, and t""; ""A?4. Completion at the augmentation ideal of the Burnside ring""; ""A?5. Transfer and the fixed point spectra of Tate G-spectra""; ""Part II: Eilenberg-Maclane G-spectra and the spectral sequences"" 327 $a""A?6. Eilenberg-MacLane G-spectra and their associated theories""""A?7. Mackey functors and coefficient systems""; ""A?8. Products in the theories associated to Eilenberg-MacLane G-spectra""; ""A?9. Chain level calculation of the coefficient groups""; ""A?10. The f,c, and t Tate Atiyah-Hirzebruch spectral sequences""; ""Part III: Specializations and calculations""; ""A?11. Tate-Swan cohomology and the spectral sequences for finite groups""; ""A?12. Some remarks on nonequivariant stable homotopy theory""; ""A?13. The Tate K-theory of finite groups and related calculations"" 327 $a""A?14. Cyclic cohomology and the spectral sequences for the circle group""""A?15. Calculations in homotopy and K-theory for the circle group""; ""A?16. Free G-spheres and periodicity phenomena""; ""Part IV: The generalization to families""; ""A?17. Families and their f,c, and t G-spectra""; ""A?18. Cohomological and homological completion phenomena""; ""A?19. The generalized Tate G-spectra of periodic K-theory""; ""A?20. Theories associated to Mackey functors and coMackey functors""; ""A?21. Amitsur-Dress-Tate cohomology theories"" 327 $a""A?22. The generalized Tate Atiyah-Hirzebruch spectral sequences""""A?23. Some calculational methods and examples: groups of order pq""; ""A?24. Equivariant root invariants of stable homotopy groups of spheres""; ""A?25. Proof of the root invariant theorem""; ""Appendix A: Splittings of rational G-spectra for finite groups G""; ""Appendix B: Generalized Atiyah-Hirzebruch spectral sequences""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""I""; ""L""; ""M""; ""N""; ""P""; ""R""; ""S""; ""T""; ""U"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 113, Number 543. 606 $aHomology theory 615 0$aHomology theory. 676 $a514/.23 700 $aGreenlees$b J. P. C$g(John Patrick Campbell),$f1959-$01521083 702 $aMay$b J. Peter 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788756203321 996 $aGeneralized Tate cohomology$93759983 997 $aUNINA