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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aAlgebraic cobordism and K-theory /$fVictor P. Snaith
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1979]
210  4$d©1979
215   $a1 online resource (163 p.)
225 1 $aMemoirs of the American Mathematical Society ;$vnumber 221
300   $a"Volume 21 ... second of 3 numbers."
311   $a0-8218-2221-7 
320   $aBibliography: pages 144-149.
327   $a""Table of Contents""; ""Prologue - global summary of results and motivation""; ""Part I: Cobordism and the stable homotopy of classifying space""; ""A?1: Introduction, statement of results of Part I""; ""A?2: Computations with the transfer""; ""A?3: Factorisations of QBU(l), QB0(2) and QBSp(l)""; ""A?4: Stable decompositions of BU, BSp, BO and BSO""; ""A?5: The first connections of a???[sup(s)][sub(*)](BG) with cobordism""; ""A?6: A computation - application to a???[sup(s)][sub(*)](BG)(BU(n))""
327   $a""A?7: The deviation from additivity of the real transfer and of the Becker-Gottlieb solution to the real Adams conjecture""""A?8: Stable decompositions of BGL3F[sub(q)] and B03F[sub(3)]""; ""Part II: A new construction of unitary and symplectic cobordism""; ""A?0: Introduction, statement of results of Part II""; ""A?1: The homology of the stable decomposition of I?©[sup(t)]I?£[sup(t)]BU(1)""; ""A?2: AUA?° (X), ASpA?°(X) and their relation with cobordism""; ""A?3: The spectra AU and ASp""; ""A?4: Adams operations in MU- and AU-theory""
327   $a""A?0: Introduction, statement of results of Part III""""A?1: The spectrum X(b) - examples including cobordism, K-Theory and algebraic cobordism""; ""A?2: The stable homotopy of BO, some new elements in a???[sup(s)][sub(*)](BO)""; ""A?3: Unoriented cobordism as an X(b)-spectrum""; ""A?4: New elements in a???[sup(s)][sub(*)](ImJ)""; ""A?5: The algebraic cobordism of Z and its epimorphism onto a???[sub(*)](MO)""; ""Part IV: Algebraic cobordism and geometry""; ""A?0: Epilogue, statement of results and the advocation of a cobordismic viewpoint""
327   $a""A?1: Algebraic vector bundles over number fields, a remark on a problem of Atiyah""""A?2: An analogue of the Pontrjagin-Thom construction on the etale site, with examples""; ""A?3: Some computations of the p-adic algebraic cobordism of schemes over Spec IF[sub(q)]""; ""A?4: Units, p-adic cobordism of IF[sub(q)] -algebras and their Quillen K-theory""; ""A?5: Twelve problems arising from Parts I - IV""; ""A?6: Bibliography""; ""A?7: Footnotes""
410  0$aMemoirs of the American Mathematical Society ;$vno. 221.
606   $aCobordism theory
606   $aK-theory
606   $aHomotopy theory
615  0$aCobordism theory.
615  0$aK-theory.
615  0$aHomotopy theory.
676   $a514/.23
700   $aSnaith$b Victor P$g(Victor Percy),$f1944-$058899
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910818941903321
996   $aAlgebraic cobordism and K-theory$94066777
997   $aUNINA