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Record Nr. |
UNINA9910788893303321 |
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Autore |
Snaith Victor P (Victor Percy), <1944-> |
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Titolo |
Algebraic cobordism and K-theory / / Victor P. Snaith |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1979] |
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©1979 |
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ISBN |
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Descrizione fisica |
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1 online resource (163 p.) |
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Collana |
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Memoirs of the American Mathematical Society ; ; number 221 |
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Disciplina |
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Soggetti |
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Cobordism theory |
K-theory |
Homotopy theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 21 ... second of 3 numbers." |
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Nota di bibliografia |
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Bibliography: pages 144-149. |
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Nota di contenuto |
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""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)""; |
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""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"" |
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