Rational Sp1s-equivariant stable homotopy theory / [electronic resource] J.P.C. Greenlees.

By: Greenlees, J. P. C. (John Patrick Campbell), 1959-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 661Publication details: Providence, R.I. : American Mathematical Society, 1999Description: 1 online resource (xii, 289 p.)ISBN: 9781470402501 (online)Subject(s): Homotopy theoryAdditional physical formats: Rational Sp1s-equivariant stable homotopy theory /DDC classification: 510 s | 514/.24 LOC classification: QA3 | .A57 no. 661 | QA612.7Online resources: Contents | Contents
Contents:
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
Item type: E-BOOKS
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"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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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