Equivariant orthogonal spectra and S-modules / / M.A. Mandell, J.P. May

• Record Nr.: UNINA9910480639203321
• Autore: Mandell M. A. <1970->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2002
• ISBN: 1-4704-0348-X
• Descrizione fisica: 1 online resource (125 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 755
• Disciplina: 510 s; 514/.24
• Soggetti: Homotopy theory; Categories (Mathematics); Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "Volume 159, number 755 (second of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""Contents""; ""Introduction""; ""Chapter I. Orthogonal spectra and S-modules""; ""1. Introduction and statements of results""; ""2. Right exact functors on categories of diagram spaces""; ""3. The proofs of the comparison theorems""; ""4. Further Quillen equivalences and homotopical preliminaries""; ""5. Model structures and homotopical proofs""; ""6. The construction of the functor N*""; ""7. The functor M and its comparison with N""; ""8. A revisionist view of infinite loop space theory""; ""Chapter II. Equivariant orthogonal spectra""; ""1. Preliminaries on equivariant categories""; ""2. The definition of orthogonal G-spectra""""3. The smash product of orthogonal G-spectra""; ""4. A description of orthogonal G-spectra as diagram G-spaces""; ""Chapter III. Model categories of orthogonal G-spaces""; ""1. The model structure on G-spaces""; ""2. The level model structure on orthogonal G-spectra""; ""3. The homotopy groups of G-prespectra""; ""4. The stable model structure on orthogonal G-spectra""; ""5. The positive stable model structure""; ""6. Stable equivalences of orthogonal G-spectra""; ""7. Model categories of ring and module G-spectra""; ""8. The model category of commutative ring G-spectra""""9. Level equivalences and Ï€[sub(*)]-isomorphisms of Ω-G-spectra""; ""Chapter ; IV. Orthogonal G-spectra and S[sub(G)]-modules""; ""1. Introduction and statements of results""; ""2. Model structures on the category of S[sub(G)]-modules""; ""3. The construction of the functors N and N[sup(#)]""; ""4. The proofs of the comparison theorems""; ""5. The functor M and its comparison with N""; ""6. Families, cofamilies, and Bousfield localization""; ""Chapter V. ""Change"" functors for orthogonal G-spectra""; ""1. Change of universe""; ""2. Change of groups""""3. Fixed point and orbit spectra""; ""4. Geometric fixed point spectra""; ""Chapter VI. ""Change"" functors for S[sub(G)]-modules and comparisons""; ""1. Comparisons of change of group functors""; ""2. Comparisons of change of universe functors""; ""3. Comparisons of fixed point and orbit G-spectra functors""; ""4. N-free G-spectra and the Adams isomorphism""; ""5. The geometric fixed point functor and quotient groups""; ""6. Technical results on the unit map λ:JE [omitted] E""; ""Bibliography""; ""Index of Notation""