A1-algebraic topology over a field / / Fabien Morel |
Autore | Morel Fabien |
Edizione | [1st ed. 2012.] |
Pubbl/distr/stampa | Berlin ; ; Heidelberg, : Springer, c2012 |
Descrizione fisica | 1 online resource (X, 259 p.) |
Disciplina | 514.24 |
Collana | Lecture notes in mathematics |
Soggetto topico |
Algebraic topology
Homotopy theory |
ISBN | 3-642-29514-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Introduction -- 2 Unramified sheaves and strongly A1-invariant sheaves -- 3 Unramified Milnor-Witt K-theories -- 4 Geometric versus canonical transfers -- 5 The Rost-Schmid complex of a strongly A1-invariant sheaf -- 6 A1-homotopy sheaves and A1-homology sheaves -- 7 A1-coverings -- 8 A1-homotopy and algebraic vector bundles -- 9 The affine B.G. property for the linear groups and the Grassmanian. |
Record Nr. | UNINA-9910484007003321 |
Morel Fabien
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Berlin ; ; Heidelberg, : Springer, c2012 | ||
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Lo trovi qui: Univ. Federico II | ||
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Advanced Topics of Topology / / Francisco Bulnes, editor |
Pubbl/distr/stampa | London : , : IntechOpen, , 2022 |
Descrizione fisica | 1 online resource (136 pages) |
Disciplina | 514 |
Soggetto topico |
Topology
Homotopy theory |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910688198603321 |
London : , : IntechOpen, , 2022 | ||
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Lo trovi qui: Univ. Federico II | ||
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Advances in the homotopy analysis method / / editor, Shijun Liao, Shanghai Jiao Tong University, China |
Pubbl/distr/stampa | Hackensack, New Jersey : , : World Scientific, , [2014] |
Descrizione fisica | 1 online resource (426 p.) |
Disciplina | 514/.24 |
Altri autori (Persone) | LiaoShijun <1963-> |
Soggetto topico | Homotopy theory |
Soggetto genere / forma | Electronic books. |
ISBN | 981-4551-25-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1. Chance and Challenge: A Brief Review of Homotopy Analysis Method; 1.1. Background; 1.2. A brief history of the HAM; 1.3. Some advances of the HAM; 1.3.1. Generalized zeroth-order deformation equation; 1.3.2. Spectral HAM and complicated auxiliary operator; 1.3.3. Predictor HAM and multiple solutions; 1.3.4. Convergence condition and HAM-based software; 1.4. Relationships to other methods; 1.5. Chance and challenge: some suggested problems; 1.5.1. Periodic solutions of chaotic dynamic systems; 1.5.2. Periodic orbits of Newtonian three-body problem
1.5.3. Viscous flow past a sphere1.5.4. Viscous flow past a cylinder; 1.5.5. Nonlinear water waves; Acknowledgment; References; 2. Predictor Homotopy Analysis Method (PHAM); 2.1. Preliminaries; 2.2. Description of the method; 2.2.1. Zeroth-order deformation equation; 2.2.2. High-order deformation equation; 2.2.3. Prediction of the multiple solutions; 2.3. Convergence analysis; 2.4. Some illustrative models; 2.4.1. Nonlinear problem arising in heat transfer; 2.4.1.1. Model and exact solutions; 2.4.1.2. Prediction of dual solutions by the rule of multiplicity of solutions 2.4.1.3. Effective calculation of the two branches of solution2.4.2. Strongly nonlinear Bratu's equation; 2.4.2.1. Problem and exact solutions; 2.4.2.2. Prediction of multiple solutions by the rule of multiplicity of solutions; 2.4.2.3. Effective calculation of the two branches of solution; 2.4.3. Nonlinear reaction-diffusion model; 2.4.3.1. Equation and exact solutions; 2.4.3.2. Prediction of multiple solutions by the rule of multiplicity of solutions; 2.4.3.3. Calculation of the two branches of solution; 2.4.4. Mixed convection flows in a vertical channel 2.4.4.1. Prediction of dual solutions by the rule of multiplicity of solutions2.4.4.2. Effective calculation of the two branches of solution; 2.4.4.3. Further results; 2.5. Concluding remarks; References; 3. Spectral Homotopy Analysis Method for Nonlinear Boundary Value Problems; 3.1. Introduction; 3.2. Basic ideas of the spectral homotopy analysis method; 3.3. Some applications of the spectral homotopy analysis method; 3.3.1. Falkner-Skan boundary layer flow; 3.3.2. Eigenvalue problems; 3.3.3. Boundary value problems with multiple solutions; 3.3.4. Coupled nonlinear boundary value equations |
Record Nr. | UNINA-9910453634703321 |
Hackensack, New Jersey : , : World Scientific, , [2014] | ||
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Lo trovi qui: Univ. Federico II | ||
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Advances in the homotopy analysis method / / editor, Shijun Liao, Shanghai Jiao Tong University, China |
Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
Descrizione fisica | 1 online resource (viii, 417 pages) : illustrations |
Disciplina | 514/.24 |
Collana | Gale eBooks |
Soggetto topico | Homotopy theory |
ISBN | 981-4551-25-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1. Chance and Challenge: A Brief Review of Homotopy Analysis Method; 1.1. Background; 1.2. A brief history of the HAM; 1.3. Some advances of the HAM; 1.3.1. Generalized zeroth-order deformation equation; 1.3.2. Spectral HAM and complicated auxiliary operator; 1.3.3. Predictor HAM and multiple solutions; 1.3.4. Convergence condition and HAM-based software; 1.4. Relationships to other methods; 1.5. Chance and challenge: some suggested problems; 1.5.1. Periodic solutions of chaotic dynamic systems; 1.5.2. Periodic orbits of Newtonian three-body problem
1.5.3. Viscous flow past a sphere1.5.4. Viscous flow past a cylinder; 1.5.5. Nonlinear water waves; Acknowledgment; References; 2. Predictor Homotopy Analysis Method (PHAM); 2.1. Preliminaries; 2.2. Description of the method; 2.2.1. Zeroth-order deformation equation; 2.2.2. High-order deformation equation; 2.2.3. Prediction of the multiple solutions; 2.3. Convergence analysis; 2.4. Some illustrative models; 2.4.1. Nonlinear problem arising in heat transfer; 2.4.1.1. Model and exact solutions; 2.4.1.2. Prediction of dual solutions by the rule of multiplicity of solutions 2.4.1.3. Effective calculation of the two branches of solution2.4.2. Strongly nonlinear Bratu's equation; 2.4.2.1. Problem and exact solutions; 2.4.2.2. Prediction of multiple solutions by the rule of multiplicity of solutions; 2.4.2.3. Effective calculation of the two branches of solution; 2.4.3. Nonlinear reaction-diffusion model; 2.4.3.1. Equation and exact solutions; 2.4.3.2. Prediction of multiple solutions by the rule of multiplicity of solutions; 2.4.3.3. Calculation of the two branches of solution; 2.4.4. Mixed convection flows in a vertical channel 2.4.4.1. Prediction of dual solutions by the rule of multiplicity of solutions2.4.4.2. Effective calculation of the two branches of solution; 2.4.4.3. Further results; 2.5. Concluding remarks; References; 3. Spectral Homotopy Analysis Method for Nonlinear Boundary Value Problems; 3.1. Introduction; 3.2. Basic ideas of the spectral homotopy analysis method; 3.3. Some applications of the spectral homotopy analysis method; 3.3.1. Falkner-Skan boundary layer flow; 3.3.2. Eigenvalue problems; 3.3.3. Boundary value problems with multiple solutions; 3.3.4. Coupled nonlinear boundary value equations |
Record Nr. | UNINA-9910790972603321 |
New Jersey : , : World Scientific, , [2014] | ||
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Lo trovi qui: Univ. Federico II | ||
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Advances in the homotopy analysis method / / editor, Shijun Liao, Shanghai Jiao Tong University, China |
Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
Descrizione fisica | 1 online resource (viii, 417 pages) : illustrations |
Disciplina | 514/.24 |
Collana | Gale eBooks |
Soggetto topico | Homotopy theory |
ISBN | 981-4551-25-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1. Chance and Challenge: A Brief Review of Homotopy Analysis Method; 1.1. Background; 1.2. A brief history of the HAM; 1.3. Some advances of the HAM; 1.3.1. Generalized zeroth-order deformation equation; 1.3.2. Spectral HAM and complicated auxiliary operator; 1.3.3. Predictor HAM and multiple solutions; 1.3.4. Convergence condition and HAM-based software; 1.4. Relationships to other methods; 1.5. Chance and challenge: some suggested problems; 1.5.1. Periodic solutions of chaotic dynamic systems; 1.5.2. Periodic orbits of Newtonian three-body problem
1.5.3. Viscous flow past a sphere1.5.4. Viscous flow past a cylinder; 1.5.5. Nonlinear water waves; Acknowledgment; References; 2. Predictor Homotopy Analysis Method (PHAM); 2.1. Preliminaries; 2.2. Description of the method; 2.2.1. Zeroth-order deformation equation; 2.2.2. High-order deformation equation; 2.2.3. Prediction of the multiple solutions; 2.3. Convergence analysis; 2.4. Some illustrative models; 2.4.1. Nonlinear problem arising in heat transfer; 2.4.1.1. Model and exact solutions; 2.4.1.2. Prediction of dual solutions by the rule of multiplicity of solutions 2.4.1.3. Effective calculation of the two branches of solution2.4.2. Strongly nonlinear Bratu's equation; 2.4.2.1. Problem and exact solutions; 2.4.2.2. Prediction of multiple solutions by the rule of multiplicity of solutions; 2.4.2.3. Effective calculation of the two branches of solution; 2.4.3. Nonlinear reaction-diffusion model; 2.4.3.1. Equation and exact solutions; 2.4.3.2. Prediction of multiple solutions by the rule of multiplicity of solutions; 2.4.3.3. Calculation of the two branches of solution; 2.4.4. Mixed convection flows in a vertical channel 2.4.4.1. Prediction of dual solutions by the rule of multiplicity of solutions2.4.4.2. Effective calculation of the two branches of solution; 2.4.4.3. Further results; 2.5. Concluding remarks; References; 3. Spectral Homotopy Analysis Method for Nonlinear Boundary Value Problems; 3.1. Introduction; 3.2. Basic ideas of the spectral homotopy analysis method; 3.3. Some applications of the spectral homotopy analysis method; 3.3.1. Falkner-Skan boundary layer flow; 3.3.2. Eigenvalue problems; 3.3.3. Boundary value problems with multiple solutions; 3.3.4. Coupled nonlinear boundary value equations |
Record Nr. | UNINA-9910807275303321 |
New Jersey : , : World Scientific, , [2014] | ||
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Lo trovi qui: Univ. Federico II | ||
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The algebraic characterization of geometric 4-manifolds / J. A. Hillman |
Autore | Hillman, Jonathan A. |
Pubbl/distr/stampa | Cambridge : Cambridge University Press, 1994 |
Descrizione fisica | ix, 170 p. ; 23 cm |
Disciplina | 514.3 |
Collana | London Mathematical Society lecture note series, 0076-0552 ; 198 |
Soggetto topico |
Four-manifolds (Topology)
Homotopy theory |
ISBN | 0521467780 |
Classificazione |
AMS 57N65
AMS 57P10 AMS 57Q10 AMS 57R |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000656919707536 |
Hillman, Jonathan A.
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Cambridge : Cambridge University Press, 1994 | ||
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Lo trovi qui: Univ. del Salento | ||
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Algebraic cobordism and K-theory / / Victor P. Snaith |
Autore | Snaith Victor P (Victor Percy), <1944-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1979] |
Descrizione fisica | 1 online resource (163 p.) |
Disciplina | 514/.23 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Cobordism theory
K-theory Homotopy theory |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0602-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Prologue - global summary of results and motivation""; ""Part I: Cobordism and the stable homotopy of classifying space""; ""Â1: Introduction, statement of results of Part I""; ""Â2: Computations with the transfer""; ""Â3: Factorisations of QBU(l), QB0(2) and QBSp(l)""; ""Â4: Stable decompositions of BU, BSp, BO and BSO""; ""Â5: The first connections of â??[sup(s)][sub(*)](BG) with cobordism""; ""Â6: A computation - application to â??[sup(s)][sub(*)](BG)(BU(n))""
""Â7: The deviation from additivity of the real transfer and of the Becker-Gottlieb solution to the real Adams conjecture""""Â8: Stable decompositions of BGL3F[sub(q)] and B03F[sub(3)]""; ""Part II: A new construction of unitary and symplectic cobordism""; ""Â0: Introduction, statement of results of Part II""; ""Â1: The homology of the stable decomposition of Ω[sup(t)]Σ[sup(t)]BU(1)""; ""Â2: AU° (X), ASp°(X) and their relation with cobordism""; ""Â3: The spectra AU and ASp""; ""Â4: Adams operations in MU- and AU-theory"" ""Â0: Introduction, statement of results of Part III""""Â1: The spectrum X(b) - examples including cobordism, K-Theory and algebraic cobordism""; ""Â2: The stable homotopy of BO, some new elements in â??[sup(s)][sub(*)](BO)""; ""Â3: Unoriented cobordism as an X(b)-spectrum""; ""Â4: New elements in â??[sup(s)][sub(*)](ImJ)""; ""Â5: The algebraic cobordism of Z and its epimorphism onto â??[sub(*)](MO)""; ""Part IV: Algebraic cobordism and geometry""; ""Â0: Epilogue, statement of results and the advocation of a cobordismic viewpoint"" ""Â1: Algebraic vector bundles over number fields, a remark on a problem of Atiyah""""Â2: An analogue of the Pontrjagin-Thom construction on the etale site, with examples""; ""Â3: Some computations of the p-adic algebraic cobordism of schemes over Spec IF[sub(q)]""; ""Â4: Units, p-adic cobordism of IF[sub(q)] -algebras and their Quillen K-theory""; ""Â5: Twelve problems arising from Parts I - IV""; ""Â6: Bibliography""; ""Â7: Footnotes"" |
Record Nr. | UNINA-9910480023703321 |
Snaith Victor P (Victor Percy), <1944->
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Providence, Rhode Island : , : American Mathematical Society, , [1979] | ||
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Lo trovi qui: Univ. Federico II | ||
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Algebraic cobordism and K-theory / / Victor P. Snaith |
Autore | Snaith Victor P (Victor Percy), <1944-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1979] |
Descrizione fisica | 1 online resource (163 p.) |
Disciplina | 514/.23 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Cobordism theory
K-theory Homotopy theory |
ISBN | 1-4704-0602-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Prologue - global summary of results and motivation""; ""Part I: Cobordism and the stable homotopy of classifying space""; ""Â1: Introduction, statement of results of Part I""; ""Â2: Computations with the transfer""; ""Â3: Factorisations of QBU(l), QB0(2) and QBSp(l)""; ""Â4: Stable decompositions of BU, BSp, BO and BSO""; ""Â5: The first connections of â??[sup(s)][sub(*)](BG) with cobordism""; ""Â6: A computation - application to â??[sup(s)][sub(*)](BG)(BU(n))""
""Â7: The deviation from additivity of the real transfer and of the Becker-Gottlieb solution to the real Adams conjecture""""Â8: Stable decompositions of BGL3F[sub(q)] and B03F[sub(3)]""; ""Part II: A new construction of unitary and symplectic cobordism""; ""Â0: Introduction, statement of results of Part II""; ""Â1: The homology of the stable decomposition of Ω[sup(t)]Σ[sup(t)]BU(1)""; ""Â2: AU° (X), ASp°(X) and their relation with cobordism""; ""Â3: The spectra AU and ASp""; ""Â4: Adams operations in MU- and AU-theory"" ""Â0: Introduction, statement of results of Part III""""Â1: The spectrum X(b) - examples including cobordism, K-Theory and algebraic cobordism""; ""Â2: The stable homotopy of BO, some new elements in â??[sup(s)][sub(*)](BO)""; ""Â3: Unoriented cobordism as an X(b)-spectrum""; ""Â4: New elements in â??[sup(s)][sub(*)](ImJ)""; ""Â5: The algebraic cobordism of Z and its epimorphism onto â??[sub(*)](MO)""; ""Part IV: Algebraic cobordism and geometry""; ""Â0: Epilogue, statement of results and the advocation of a cobordismic viewpoint"" ""Â1: Algebraic vector bundles over number fields, a remark on a problem of Atiyah""""Â2: An analogue of the Pontrjagin-Thom construction on the etale site, with examples""; ""Â3: Some computations of the p-adic algebraic cobordism of schemes over Spec IF[sub(q)]""; ""Â4: Units, p-adic cobordism of IF[sub(q)] -algebras and their Quillen K-theory""; ""Â5: Twelve problems arising from Parts I - IV""; ""Â6: Bibliography""; ""Â7: Footnotes"" |
Record Nr. | UNINA-9910788893303321 |
Snaith Victor P (Victor Percy), <1944->
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Providence, Rhode Island : , : American Mathematical Society, , [1979] | ||
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Lo trovi qui: Univ. Federico II | ||
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Algebraic cobordism and K-theory / / Victor P. Snaith |
Autore | Snaith Victor P (Victor Percy), <1944-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1979] |
Descrizione fisica | 1 online resource (163 p.) |
Disciplina | 514/.23 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Cobordism theory
K-theory Homotopy theory |
ISBN | 1-4704-0602-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Prologue - global summary of results and motivation""; ""Part I: Cobordism and the stable homotopy of classifying space""; ""Â1: Introduction, statement of results of Part I""; ""Â2: Computations with the transfer""; ""Â3: Factorisations of QBU(l), QB0(2) and QBSp(l)""; ""Â4: Stable decompositions of BU, BSp, BO and BSO""; ""Â5: The first connections of â??[sup(s)][sub(*)](BG) with cobordism""; ""Â6: A computation - application to â??[sup(s)][sub(*)](BG)(BU(n))""
""Â7: The deviation from additivity of the real transfer and of the Becker-Gottlieb solution to the real Adams conjecture""""Â8: Stable decompositions of BGL3F[sub(q)] and B03F[sub(3)]""; ""Part II: A new construction of unitary and symplectic cobordism""; ""Â0: Introduction, statement of results of Part II""; ""Â1: The homology of the stable decomposition of Ω[sup(t)]Σ[sup(t)]BU(1)""; ""Â2: AU° (X), ASp°(X) and their relation with cobordism""; ""Â3: The spectra AU and ASp""; ""Â4: Adams operations in MU- and AU-theory"" ""Â0: Introduction, statement of results of Part III""""Â1: The spectrum X(b) - examples including cobordism, K-Theory and algebraic cobordism""; ""Â2: The stable homotopy of BO, some new elements in â??[sup(s)][sub(*)](BO)""; ""Â3: Unoriented cobordism as an X(b)-spectrum""; ""Â4: New elements in â??[sup(s)][sub(*)](ImJ)""; ""Â5: The algebraic cobordism of Z and its epimorphism onto â??[sub(*)](MO)""; ""Part IV: Algebraic cobordism and geometry""; ""Â0: Epilogue, statement of results and the advocation of a cobordismic viewpoint"" ""Â1: Algebraic vector bundles over number fields, a remark on a problem of Atiyah""""Â2: An analogue of the Pontrjagin-Thom construction on the etale site, with examples""; ""Â3: Some computations of the p-adic algebraic cobordism of schemes over Spec IF[sub(q)]""; ""Â4: Units, p-adic cobordism of IF[sub(q)] -algebras and their Quillen K-theory""; ""Â5: Twelve problems arising from Parts I - IV""; ""Â6: Bibliography""; ""Â7: Footnotes"" |
Record Nr. | UNINA-9910818941903321 |
Snaith Victor P (Victor Percy), <1944->
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Providence, Rhode Island : , : American Mathematical Society, , [1979] | ||
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Lo trovi qui: Univ. Federico II | ||
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Algebraic K-theory and localised stable homotopy theory / / Victor Snaith |
Autore | Snaith Victor P (Victor Percy), <1944-> |
Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Society, , [1983] |
Descrizione fisica | 1 online resource (116 p.) |
Disciplina |
510 s
514/.23 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
K-theory
Homotopy theory |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0690-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""ÂIII.1: The descent spectral sequence in localised equivariant stable homotopy""""ÂIII.2: Some examples of representatives and differentials in the spectral sequence""; ""ÂIII.3: Examples of the descent spectral sequence""; ""Part IV â€? Further applications to algebraic K-theory""; ""ÂIV.1: Thomason's Cech construction, H(X; F) and K[sup(top)][sub(*)](X)""; ""ÂIV.2: K-theory eventually surjects onto K[sup(top)] for local/global fields and their algebraic integers""; ""ÂIV.3: An upper bound for (Bott periodic) algebraic K-theory""
""ÂIV.4: Bott periodic algebraic K-theory and the class group""""References"" |
Record Nr. | UNINA-9910480727803321 |
Snaith Victor P (Victor Percy), <1944->
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Providence, R.I., USA : , : American Mathematical Society, , [1983] | ||
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Lo trovi qui: Univ. Federico II | ||
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