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Equivariant orthogonal spectra and S-modules / / M.A. Mandell, J.P. May
| Equivariant orthogonal spectra and S-modules / / M.A. Mandell, J.P. May |
| Autore | Mandell M. A. <1970-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (125 p.) |
| Disciplina |
510 s
514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Categories (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0348-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 π[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"" |
| Record Nr. | UNINA-9910480639203321 |
Mandell M. A. <1970->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Equivariant orthogonal spectra and S-modules / / M.A. Mandell, J.P. May
| Equivariant orthogonal spectra and S-modules / / M.A. Mandell, J.P. May |
| Autore | Mandell M. A. <1970-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (125 p.) |
| Disciplina |
510 s
514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Categories (Mathematics) |
| ISBN | 1-4704-0348-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 π[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"" |
| Record Nr. | UNINA-9910788847003321 |
|
Mandell M. A. <1970->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Equivariant orthogonal spectra and S-modules / / M.A. Mandell, J.P. May
| Equivariant orthogonal spectra and S-modules / / M.A. Mandell, J.P. May |
| Autore | Mandell M. A. <1970-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (125 p.) |
| Disciplina |
510 s
514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Categories (Mathematics) |
| ISBN | 1-4704-0348-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 π[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"" |
| Record Nr. | UNINA-9910818971103321 |
|
Mandell M. A. <1970->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||