TY - BOOK AU - Greenlees,J.P.C. TI - Rational Sp1s-equivariant stable homotopy theory T2 - Memoirs of the American Mathematical Society, SN - 9781470402501 (online) AV - QA3QA612.7 .A57 no. 661 U1 - 510 s514/.24 21 PY - 1999/// CY - Providence, R.I. PB - American Mathematical Society KW - Homotopy theory N1 - "Volume 138, number 661 (end of volume)."; Includes bibliographical references (p. 289) and indexes; 0. General introduction; I. The algebraic model of $\mathbb {T}$-spectra; 1. Introduction to Part I; 2. Topological building blocks; 3. Maps between $\mathcal {F}$-free $\mathbb {T}$-spectra; 4. Categorical reprocessing; 5. Assembly and the standard model; 6. The torsion model; II. Change of groups functors in algebra and topology; 7. Introduction to Part II; 8. Induction, coinduction and geometric fixed points; 9. Algebraic inflation and deflation; 10. Inflation, Lewis-May fixed points and quotients; III. Applications; 11. Introduction to Part III; 12. Homotopy Mackey functors and related constructions; 13. Classical miscellany; 14. Cyclic and Tate cohomology; 15. Cyclotomic spectra and topological cyclic cohomology; IV. Tensor and Hom in algebra and topology; 16. Introduction; 17. Torsion functors; 18. Torsion functors for the semifree standard model; 19. Wide spheres and representing the semifree torsion functor; 20. Torsion functors for the full standard model; 21. Product functors; 22. The tensor-Horn adjunction; 23. The derived tensor-Horn adjunction; 24. Smash products, function spectra and Lewis-May fixed points; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0661 UR - http://dx.doi.org/10.1090/memo/0661 ER -