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Algebraic cobordism and K-theory / / Victor P. Snaith
| 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->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1979] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic cobordism and K-theory / / Victor P. Snaith
| 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->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1979] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic cobordism and K-theory / / Victor P. Snaith
| 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->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1979] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Bordism of diffeomorphisms and related topics / / Matthias Kreck ; with an appendix by Neal W. Stoltzfus
| Bordism of diffeomorphisms and related topics / / Matthias Kreck ; with an appendix by Neal W. Stoltzfus |
| Autore | Kreck Matthias <1947-> |
| Edizione | [1st ed. 1984.] |
| Pubbl/distr/stampa | Berlin : , : Springer-Verlag, , 1984 |
| Descrizione fisica | 1 online resource (VI, 150 p.) |
| Disciplina | 514.72 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Cobordism theory
Cell aggregation - Mathematics |
| ISBN | 3-540-38912-1 |
| Classificazione |
57R50
57R65 57R90 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Bordism groups of orientation preserving diffeomorphisms -- Report about equivariant Witt groups -- The isometric structure of a diffeomorphism -- The mapping torus of a diffeomorphism -- Fibrations over S1 within their bordism class and the computation of ?* -- Addition and subtraction of handles -- Proof of Theorem 5.5 in the odd-dimensional case -- Proof of Theorem 5.5 in the even-dimensional case -- Bordism of diffeomorphisms on manifolds with additional normal structures like Spin-, unitary structures or framings; orientation reversing diffeomorphisms and the unoriented case -- Application to SK-groups -- Miscellaneous results: Ring structure, generators, relation to the inertia group. |
| Record Nr. | UNISA-996466772303316 |
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Kreck Matthias <1947->
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| Berlin : , : Springer-Verlag, , 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Bordism of diffeomorphisms and related topics / Matthias Kreck, with an appendix by Neal W. Stoltzfus
| Bordism of diffeomorphisms and related topics / Matthias Kreck, with an appendix by Neal W. Stoltzfus |
| Autore | Kreck, Matthias |
| Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, 1984 |
| Descrizione fisica | 144 p. : ill. ; 25 cm. |
| Disciplina | 514.72 |
| Altri autori (Persone) | Stoltzfus, Neal W. |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1069 |
| Soggetto topico |
Cobordism theory
Diffeomorphisms Differential topology |
| ISBN | 3540133623 |
| Classificazione |
AMS 57R
AMS 57R50 AMS 57R65 AMS 57R90 QA3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | en |
| Record Nr. | UNISALENTO-991000721019707536 |
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Kreck, Matthias
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| Berlin ; New York : Springer-Verlag, 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory / / Douglas R. Anderson, Hans J. Munkholm
| Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory / / Douglas R. Anderson, Hans J. Munkholm |
| Autore | Anderson Douglas R (Douglas Ross), <1940-> |
| Edizione | [1st ed. 1988.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1988] |
| Descrizione fisica | 1 online resource (XIV, 310 p.) |
| Disciplina | 514.72 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Cobordism theory |
| ISBN | 3-540-39249-1 |
| Classificazione | 57Q10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Category theoretic foundations -- The algebraic topology of boundedly controlled spaces -- The geometric, boundedly controlled whitehead group -- Free and projective rpg modules the algebraic whitehead groups of rpg -- The isomorphism between the geometric and algebraic whitehead groups -- Boundedly controlled manifolds and the s-cobordism theorem -- Toward computations. |
| Record Nr. | UNISA-996466519603316 |
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Anderson Douglas R (Douglas Ross), <1940->
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| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1988] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
The category of H-modules over a spectrum / / Jack Palmer Sanders
| The category of H-modules over a spectrum / / Jack Palmer Sanders |
| Autore | Sanders Jack Palmer <1943-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1974 |
| Descrizione fisica | 1 online resource (142 p.) |
| Disciplina | 514/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homology theory
Cobordism theory Spectral theory (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9941-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910478879203321 |
|
Sanders Jack Palmer <1943->
|
||
| Providence : , : American Mathematical Society, , 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The category of H-modules over a spectrum / / Jack Palmer Sanders
| The category of H-modules over a spectrum / / Jack Palmer Sanders |
| Autore | Sanders Jack Palmer <1943-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1974 |
| Descrizione fisica | 1 online resource (142 p.) |
| Disciplina | 514/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homology theory
Cobordism theory Spectral theory (Mathematics) |
| ISBN | 0-8218-9941-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910788615303321 |
|
Sanders Jack Palmer <1943->
|
||
| Providence : , : American Mathematical Society, , 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The category of H-modules over a spectrum / / Jack Palmer Sanders
| The category of H-modules over a spectrum / / Jack Palmer Sanders |
| Autore | Sanders Jack Palmer <1943-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1974 |
| Descrizione fisica | 1 online resource (142 p.) |
| Disciplina | 514/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homology theory
Cobordism theory Spectral theory (Mathematics) |
| ISBN | 0-8218-9941-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910818808103321 |
|
Sanders Jack Palmer <1943->
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| Providence : , : American Mathematical Society, , 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen
| Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen |
| Autore | Madsen Ib |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (296 pages) : illustrations |
| Disciplina | 514/.223 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Manifolds (Mathematics)
Classifying spaces Surgery (Topology) Cobordism theory |
| Soggetto non controllato |
Bijection
Calculation Characteristic class Classification theorem Classifying space Closed manifold Cobordism Coefficient Cohomology Commutative diagram Commutative property Complex projective space Connected sum Corollary Cup product Diagram (category theory) Differentiable manifold Disjoint union Disk (mathematics) Effective method Eilenberg–Moore spectral sequence Elaboration Equivalence class Exact sequence Exterior algebra Fiber bundle Fibration Function composition H-space Homeomorphism Homomorphism Homotopy fiber Homotopy group Homotopy Hopf algebra Iterative method Loop space Manifold Massey product N-sphere Normal bundle Obstruction theory Pairing Permutation Piecewise linear manifold Piecewise linear Polynomial Prime number Projective space Sequence Simply connected space Special case Spin structure Steenrod algebra Subset Summation Tensor product Theorem Topological group Topological manifold Topology Total order |
| ISBN | 1-4008-8147-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER 1. CLASSIFYING SPACES AND COBORDISM -- CHAPTER 2. THE SURGERY CLASSIFICATION OF MANIFOLDS -- CHAPTER 3. THE SPACES SG AND BSG -- CHAPTER 4. THE HOMOTOPY STRUCTURE OF G/PL AND G/TOP -- CHAPTER 5. THE HOMOTOPY STRUCTURE OF MSPL[½] AND MSTOP[½] -- CHAPTER 6 . INFINITE LOOP SPACES AND THEIR HOMOLOGY OPERATIONS -- CHAPTER 7. THE 2-LOCAL STRUCTURE OF B(G/TOP) -- CHAPTER 8 . THE TORSION FREE STRUCTURE OF THE ORIENTED COBORDISM RINGS -- CHAPTER 9. THE TORSION FREE COHOMOLOGY OF G/TOP AND G/PL -- CHAPTER 10. THE TORSION FREE COHOMOLOGY OF BTOP AND BPL -- CHAPTER 11. INTEGRALITY THEOREMS -- CHAPTER 12. THE SMOOTH SURGERY CLASSES AND H*(BTOP; ℤ/2) -- CHAPTER 13. THE BOCKSTEIN SPECTRAL SEQUENCE FOR BTOP -- CHAPTER 14. THE TYPES OF TORSION GENERATORS -- APPENDIX. THE PROOFS OF 13.12, 13.13, AND 13.15 -- BIBLIOGRAPHY -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154749003321 |
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Madsen Ib
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Soggetto topico
-
Cobordism theory
(58)
- K-theory (11)
- Adams spectral sequences (9)
- Rings (Algebra) (9)
- Symplectic manifolds (9)