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UNINA9910788756203321 |
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Autore |
Greenlees J. P. C (John Patrick Campbell), <1959-> |
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Titolo |
Generalized Tate cohomology / / J. P. C. Greenlees, J. P. May |
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Pubbl/distr/stampa |
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Providence, Rhode Island, United States : , : American Mathematical Society, , 1995 |
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©1995 |
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ISBN |
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Descrizione fisica |
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1 online resource (193 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 113, Number 543 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 1995, Volume 113, Number 543 (third of 4 numbers)"--Cover. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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 |
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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"" |
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