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Spectral sequence constructors in algebra and topology / / D.W. Barnes
| Spectral sequence constructors in algebra and topology / / D.W. Barnes |
| Autore | Barnes D. W (Donald W.), <1935-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (187 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functor theory
Spectral sequences (Mathematics) Hopf algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0730-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""CONTENTS""; ""PREFACE""; ""I. MODULES OVER HOPE ALGEBRAS""; ""1. Hopf Algebras""; ""2. Groups""; ""3. Lie Algebras""; ""4. Modules""; ""5. Homology and Cohomology""; ""II. CUP PRODUCTS""; ""1. Introduction""; ""2. Relatively Injective Modules""; ""3. Relatively Injective Resolutions""; ""4. General Resolutions""; ""III. SPECTRAL SEQUENCE CONSTRUCTORS""; ""1. Introduction""; ""2. Comparison of Spectral Sequence Constructors""; ""3. Cup Products""; ""IV. FILTRATIONS ON THE NORMALISED STANDARD COMPLEX""; ""1. Introduction""; ""2. Comparison of the Filtrations""
""3. Calculation of the E[sub(1)]â€?term""""4. Lie Algebras""; ""5. The Adams Spectral Sequence""; ""V. DOUBLE PROJECTIVE RESOLUTIONS""; ""1. The Construction""; ""2. Calculation of the E[sub(1)]â€?term""; ""3. Cup Products""; ""VI. PAIR OF RESOLUTIONS""; ""1. Introduction""; ""2. The Coinduced Resolution""; ""3. Cup Products""; ""VII. REPEATED INJECTIVE RESOLUTIONS""; ""1. The Grothendieck Construction""; ""2. Repeated Coinduced Resolutions""; ""VIII. EXPLICIT EQUIVALENCES""; ""1. Survey of Spectral Sequence Constructors""; ""2. Transformation B â?? A*""; ""3. Transformation C â?? A*"" ""4. Transformation B â?? C""""IX. ACYCLIC MODELS""; ""1. Free Functors""; ""2. Chain Complexes""; ""3 . Filtered Chain Complexes""; ""4. The Uniqueness Theorem""; ""X. COFREE FUNCTORS""; ""1. Free Functors Reformulated""; ""2. Cofree Functors""; ""3. Right Derived Functors""; ""4. Filtered Cochain Complexes""; ""5. The Uniqueness Theorem""; ""XI. LOCAL COEFFICIENTS""; ""1. Homology with Local Coefficients""; ""2. The Uniqueness Theorem""; ""3. Homomorphisms""; ""XII. THE SPECTRAL SEQUENCE OF A FIBRATION""; ""1. Introduction""; ""2. The Classifying Space of a Group""; ""3. Fibrations"" ""4. Calculation of the E[sup(2)]â€?term""""5. Other Constructions""; ""XIII. UNIQUENESS OF THE FIBRATION SPECTRAL SEQUENCE""; ""1. The Fibration Spectral Sequence Constructor Axioms""; ""2. The E[sup(1)][sub(*0)] Axiom""; ""3. The Comparison Theorem""; ""4. The uniqueness Theorem""; ""XIV. SHEAF COHOMOLOGY""; ""1. Sheaves""; ""2. Change of Base""; ""3. Sheaf Cohomology""; ""4. Locally Constant Sheaves""; ""5. The Leray Spectral Sequence""; ""APPENDIX. LIFTING FUNCTIONS""; ""REFERENCES""; ""INDEX""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N"" ""P""""Q""; ""R""; ""S""; ""T""; ""U""; ""V"" |
| Record Nr. | UNINA-9910480477603321 |
Barnes D. W (Donald W.), <1935->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral sequence constructors in algebra and topology / / D.W. Barnes
| Spectral sequence constructors in algebra and topology / / D.W. Barnes |
| Autore | Barnes D. W (Donald W.), <1935-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (187 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functor theory
Spectral sequences (Mathematics) Hopf algebras |
| ISBN | 1-4704-0730-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""CONTENTS""; ""PREFACE""; ""I. MODULES OVER HOPE ALGEBRAS""; ""1. Hopf Algebras""; ""2. Groups""; ""3. Lie Algebras""; ""4. Modules""; ""5. Homology and Cohomology""; ""II. CUP PRODUCTS""; ""1. Introduction""; ""2. Relatively Injective Modules""; ""3. Relatively Injective Resolutions""; ""4. General Resolutions""; ""III. SPECTRAL SEQUENCE CONSTRUCTORS""; ""1. Introduction""; ""2. Comparison of Spectral Sequence Constructors""; ""3. Cup Products""; ""IV. FILTRATIONS ON THE NORMALISED STANDARD COMPLEX""; ""1. Introduction""; ""2. Comparison of the Filtrations""
""3. Calculation of the E[sub(1)]â€?term""""4. Lie Algebras""; ""5. The Adams Spectral Sequence""; ""V. DOUBLE PROJECTIVE RESOLUTIONS""; ""1. The Construction""; ""2. Calculation of the E[sub(1)]â€?term""; ""3. Cup Products""; ""VI. PAIR OF RESOLUTIONS""; ""1. Introduction""; ""2. The Coinduced Resolution""; ""3. Cup Products""; ""VII. REPEATED INJECTIVE RESOLUTIONS""; ""1. The Grothendieck Construction""; ""2. Repeated Coinduced Resolutions""; ""VIII. EXPLICIT EQUIVALENCES""; ""1. Survey of Spectral Sequence Constructors""; ""2. Transformation B â?? A*""; ""3. Transformation C â?? A*"" ""4. Transformation B â?? C""""IX. ACYCLIC MODELS""; ""1. Free Functors""; ""2. Chain Complexes""; ""3 . Filtered Chain Complexes""; ""4. The Uniqueness Theorem""; ""X. COFREE FUNCTORS""; ""1. Free Functors Reformulated""; ""2. Cofree Functors""; ""3. Right Derived Functors""; ""4. Filtered Cochain Complexes""; ""5. The Uniqueness Theorem""; ""XI. LOCAL COEFFICIENTS""; ""1. Homology with Local Coefficients""; ""2. The Uniqueness Theorem""; ""3. Homomorphisms""; ""XII. THE SPECTRAL SEQUENCE OF A FIBRATION""; ""1. Introduction""; ""2. The Classifying Space of a Group""; ""3. Fibrations"" ""4. Calculation of the E[sup(2)]â€?term""""5. Other Constructions""; ""XIII. UNIQUENESS OF THE FIBRATION SPECTRAL SEQUENCE""; ""1. The Fibration Spectral Sequence Constructor Axioms""; ""2. The E[sup(1)][sub(*0)] Axiom""; ""3. The Comparison Theorem""; ""4. The uniqueness Theorem""; ""XIV. SHEAF COHOMOLOGY""; ""1. Sheaves""; ""2. Change of Base""; ""3. Sheaf Cohomology""; ""4. Locally Constant Sheaves""; ""5. The Leray Spectral Sequence""; ""APPENDIX. LIFTING FUNCTIONS""; ""REFERENCES""; ""INDEX""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N"" ""P""""Q""; ""R""; ""S""; ""T""; ""U""; ""V"" |
| Record Nr. | UNINA-9910788890103321 |
|
Barnes D. W (Donald W.), <1935->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral sequence constructors in algebra and topology / / D.W. Barnes
| Spectral sequence constructors in algebra and topology / / D.W. Barnes |
| Autore | Barnes D. W (Donald W.), <1935-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (187 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functor theory
Spectral sequences (Mathematics) Hopf algebras |
| ISBN | 1-4704-0730-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""CONTENTS""; ""PREFACE""; ""I. MODULES OVER HOPE ALGEBRAS""; ""1. Hopf Algebras""; ""2. Groups""; ""3. Lie Algebras""; ""4. Modules""; ""5. Homology and Cohomology""; ""II. CUP PRODUCTS""; ""1. Introduction""; ""2. Relatively Injective Modules""; ""3. Relatively Injective Resolutions""; ""4. General Resolutions""; ""III. SPECTRAL SEQUENCE CONSTRUCTORS""; ""1. Introduction""; ""2. Comparison of Spectral Sequence Constructors""; ""3. Cup Products""; ""IV. FILTRATIONS ON THE NORMALISED STANDARD COMPLEX""; ""1. Introduction""; ""2. Comparison of the Filtrations""
""3. Calculation of the E[sub(1)]â€?term""""4. Lie Algebras""; ""5. The Adams Spectral Sequence""; ""V. DOUBLE PROJECTIVE RESOLUTIONS""; ""1. The Construction""; ""2. Calculation of the E[sub(1)]â€?term""; ""3. Cup Products""; ""VI. PAIR OF RESOLUTIONS""; ""1. Introduction""; ""2. The Coinduced Resolution""; ""3. Cup Products""; ""VII. REPEATED INJECTIVE RESOLUTIONS""; ""1. The Grothendieck Construction""; ""2. Repeated Coinduced Resolutions""; ""VIII. EXPLICIT EQUIVALENCES""; ""1. Survey of Spectral Sequence Constructors""; ""2. Transformation B â?? A*""; ""3. Transformation C â?? A*"" ""4. Transformation B â?? C""""IX. ACYCLIC MODELS""; ""1. Free Functors""; ""2. Chain Complexes""; ""3 . Filtered Chain Complexes""; ""4. The Uniqueness Theorem""; ""X. COFREE FUNCTORS""; ""1. Free Functors Reformulated""; ""2. Cofree Functors""; ""3. Right Derived Functors""; ""4. Filtered Cochain Complexes""; ""5. The Uniqueness Theorem""; ""XI. LOCAL COEFFICIENTS""; ""1. Homology with Local Coefficients""; ""2. The Uniqueness Theorem""; ""3. Homomorphisms""; ""XII. THE SPECTRAL SEQUENCE OF A FIBRATION""; ""1. Introduction""; ""2. The Classifying Space of a Group""; ""3. Fibrations"" ""4. Calculation of the E[sup(2)]â€?term""""5. Other Constructions""; ""XIII. UNIQUENESS OF THE FIBRATION SPECTRAL SEQUENCE""; ""1. The Fibration Spectral Sequence Constructor Axioms""; ""2. The E[sup(1)][sub(*0)] Axiom""; ""3. The Comparison Theorem""; ""4. The uniqueness Theorem""; ""XIV. SHEAF COHOMOLOGY""; ""1. Sheaves""; ""2. Change of Base""; ""3. Sheaf Cohomology""; ""4. Locally Constant Sheaves""; ""5. The Leray Spectral Sequence""; ""APPENDIX. LIFTING FUNCTIONS""; ""REFERENCES""; ""INDEX""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N"" ""P""""Q""; ""R""; ""S""; ""T""; ""U""; ""V"" |
| Record Nr. | UNINA-9910828764203321 |
|
Barnes D. W (Donald W.), <1935->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||