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 |
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 |
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 | ||
|
Equivariant stable homotopy theory / / Lemoine G. Lewis, Jon Peter May, Mark Steinberger |
Autore | Lewis Lemoine G. |
Edizione | [1st ed. 1986.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer-Verlag, , [1986] |
Descrizione fisica | 1 online resource (XII, 540 p.) |
Disciplina | 514.24 |
Collana | Lecture Notes in Mathematics |
Soggetto topico | Homotopy equivalences |
ISBN | 3-540-47077-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preamble: A polemical introduction to the stable category -- The equivariant stable category -- Change of universe, smash products, and change of groups -- Equivariant duality theory -- Equivariant transfer -- The Burnside ring and splittings in equivariant homology theory -- Twisted half smash products and extended powers -- Operad ring spectra -- The homological analysis of extended powers -- Thom spectra -- Equivariant Thom spectra. |
Record Nr. | UNISA-996466384703316 |
Lewis Lemoine G. | ||
Berlin, Heidelberg : , : Springer-Verlag, , [1986] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Generalized Tate cohomology / / J. P. C. Greenlees, J. P. May |
Autore | Greenlees J. P. C (John Patrick Campbell), <1959-> |
Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1995 |
Descrizione fisica | 1 online resource (193 p.) |
Disciplina | 514/.23 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Homology theory |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0122-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""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 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"" |
Record Nr. | UNINA-9910480347903321 |
Greenlees J. P. C (John Patrick Campbell), <1959-> | ||
Providence, Rhode Island, United States : , : American Mathematical Society, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Generalized Tate cohomology / / J. P. C. Greenlees, J. P. May |
Autore | Greenlees J. P. C (John Patrick Campbell), <1959-> |
Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1995 |
Descrizione fisica | 1 online resource (193 p.) |
Disciplina | 514/.23 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Homology theory |
ISBN | 1-4704-0122-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""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 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"" |
Record Nr. | UNINA-9910788756203321 |
Greenlees J. P. C (John Patrick Campbell), <1959-> | ||
Providence, Rhode Island, United States : , : American Mathematical Society, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Generalized Tate cohomology / / J. P. C. Greenlees, J. P. May |
Autore | Greenlees J. P. C (John Patrick Campbell), <1959-> |
Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1995 |
Descrizione fisica | 1 online resource (193 p.) |
Disciplina | 514/.23 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico | Homology theory |
ISBN | 1-4704-0122-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""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 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"" |
Record Nr. | UNINA-9910817229803321 |
Greenlees J. P. C (John Patrick Campbell), <1959-> | ||
Providence, Rhode Island, United States : , : American Mathematical Society, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The homology of iterated loop spaces / / F. R. Cohen, T. J. Lada, and P. J. May |
Autore | Cohen Frederick R (Frederick Ronald), <1945-> |
Edizione | [1st ed. 1976.] |
Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1976] |
Descrizione fisica | 1 online resource (XII, 496 p.) |
Disciplina | 510.8 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Classifying spaces
Homology theory Loop spaces |
ISBN | 3-540-37985-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | The homology of E? spaces -- The homology of E? ring spaces -- The homology of C n+1-Spaces, n?0 -- The homology of SF(n+1) -- Strong homotopy algebras over monads -- Errata and addenda to [A],[G], and [G?]. |
Record Nr. | UNISA-996466483403316 |
Cohen Frederick R (Frederick Ronald), <1945-> | ||
Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1976] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
On the theory and applications of differential torsion products / / [by] V.K.A.M. Gugenheim and J. Peter May |
Autore | Gugenheim V. K. A. M. <1923-> |
Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1974 |
Descrizione fisica | 1 online resource (106 p.) |
Disciplina | 512/.55 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Algebra, Homological
Torsion products Spectral sequences (Mathematics) Differential algebra |
Soggetto genere / forma | Electronic books. |
ISBN | 0-8218-9942-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Abstract""; ""Â 1. Differential homological algebra""; ""Â 2. Realizations of resolutions""; ""Â 3. The differential torsion product and geometry""; ""Â 4. Principal bundles, homogeneous spaces, and Postnikov systems""; ""Â 5. Matric Massey products""; ""Appendix""; ""Bibliography"" |
Altri titoli varianti | Differential torsion products |
Record Nr. | UNINA-9910480469903321 |
Gugenheim V. K. A. M. <1923-> | ||
Providence : , : American Mathematical Society, , 1974 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
On the theory and applications of differential torsion products / / [by] V.K.A.M. Gugenheim and J. Peter May |
Autore | Gugenheim V. K. A. M. <1923-> |
Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1974 |
Descrizione fisica | 1 online resource (106 p.) |
Disciplina | 512/.55 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Algebra, Homological
Torsion products Spectral sequences (Mathematics) Differential algebra |
ISBN | 0-8218-9942-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Abstract""; ""Â 1. Differential homological algebra""; ""Â 2. Realizations of resolutions""; ""Â 3. The differential torsion product and geometry""; ""Â 4. Principal bundles, homogeneous spaces, and Postnikov systems""; ""Â 5. Matric Massey products""; ""Appendix""; ""Bibliography"" |
Altri titoli varianti | Differential torsion products |
Record Nr. | UNINA-9910788615803321 |
Gugenheim V. K. A. M. <1923-> | ||
Providence : , : American Mathematical Society, , 1974 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|