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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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Equivariant stable homotopy theory / / Lemoine G. Lewis, Jon Peter May, Mark Steinberger
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
Opac: Controlla la disponibilità qui
Generalized Tate cohomology / / J. P. C. Greenlees, J. P. May
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
Opac: Controlla la disponibilità qui
Generalized Tate cohomology / / J. P. C. Greenlees, J. P. May
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
Opac: Controlla la disponibilità qui
Generalized Tate cohomology / / J. P. C. Greenlees, J. P. May
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
Opac: Controlla la disponibilità qui
The homology of iterated loop spaces / / F. R. Cohen, T. J. Lada, and P. J. May
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
Opac: Controlla la disponibilità qui
On the theory and applications of differential torsion products / / [by] V.K.A.M. Gugenheim and J. Peter May
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
Opac: Controlla la disponibilità qui
On the theory and applications of differential torsion products / / [by] V.K.A.M. Gugenheim and J. Peter May
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
Opac: Controlla la disponibilità qui