LEADER 03790nam 2200601 450 001 9910480023703321 005 20180613001251.0 010 $a1-4704-0602-0 035 $a(CKB)3360000000464405 035 $a(EBL)3113568 035 $a(SSID)ssj0000910350 035 $a(PQKBManifestationID)11500165 035 $a(PQKBTitleCode)TC0000910350 035 $a(PQKBWorkID)10932360 035 $a(PQKB)10498605 035 $a(MiAaPQ)EBC3113568 035 $a(PPN)195411048 035 $a(EXLCZ)993360000000464405 100 $a20790713h19791979 uy| 0 101 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 608 $aElectronic books. 615 0$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 $a9910480023703321 996 $aAlgebraic cobordism and K-theory$92179256 997 $aUNINA