03974nam 2200565 450 991078875620332120170816143335.01-4704-0122-3(CKB)3360000000464727(EBL)3113998(SSID)ssj0000888959(PQKBManifestationID)11478241(PQKBTitleCode)TC0000888959(PQKBWorkID)10866005(PQKB)10309619(MiAaPQ)EBC3113998(RPAM)4907647(PPN)195414268(EXLCZ)99336000000046472720140908h19951995 uy 0engur|n|---|||||txtccrGeneralized Tate cohomology /J. P. C. Greenlees, J. P. MayProvidence, Rhode Island, United States :American Mathematical Society,1995.©19951 online resource (193 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 113, Number 543"January 1995, Volume 113, Number 543 (third of 4 numbers)"--Cover.0-8218-2603-4 Includes bibliographical references and index.""Contents""; ""Introduction""; ""Part I: General theory""; ""Â0. Preamble: definitions, change of universe, and split G-spectra""; ""Â1. Invariance properties of the functors f,c, and t""; ""Â2. Basic properties of the theories represented by f(k[sub(G)]), c(k[sub(G)]), and t(k[sub(G)])""; ""Â3. Homotopical behavior of the functors f,c, and t""; ""Â4. Completion at the augmentation ideal of the Burnside ring""; ""Â5. Transfer and the fixed point spectra of Tate G-spectra""; ""Part II: Eilenberg-Maclane G-spectra and the spectral sequences""""Â6. Eilenberg-MacLane G-spectra and their associated theories""""Â7. Mackey functors and coefficient systems""; ""Â8. Products in the theories associated to Eilenberg-MacLane G-spectra""; ""Â9. Chain level calculation of the coefficient groups""; ""Â10. The f,c, and t Tate Atiyah-Hirzebruch spectral sequences""; ""Part III: Specializations and calculations""; ""Â11. Tate-Swan cohomology and the spectral sequences for finite groups""; ""Â12. Some remarks on nonequivariant stable homotopy theory""; ""Â13. The Tate K-theory of finite groups and related calculations""""Â14. Cyclic cohomology and the spectral sequences for the circle group""""Â15. Calculations in homotopy and K-theory for the circle group""; ""Â16. Free G-spheres and periodicity phenomena""; ""Part IV: The generalization to families""; ""Â17. Families and their f,c, and t G-spectra""; ""Â18. Cohomological and homological completion phenomena""; ""Â19. The generalized Tate G-spectra of periodic K-theory""; ""Â20. Theories associated to Mackey functors and coMackey functors""; ""Â21. Amitsur-Dress-Tate cohomology theories""""Â22. The generalized Tate Atiyah-Hirzebruch spectral sequences""""Â23. Some calculational methods and examples: groups of order pq""; ""Â24. Equivariant root invariants of stable homotopy groups of spheres""; ""Â25. 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""Memoirs of the American Mathematical Society ;Volume 113, Number 543.Homology theoryHomology theory.514/.23Greenlees J. P. C(John Patrick Campbell),1959-1521083May J. PeterMiAaPQMiAaPQMiAaPQBOOK9910788756203321Generalized Tate cohomology3759983UNINA