02980nam 2200601 450 991048061070332120170918220111.01-4704-0661-6(CKB)3360000000464438(EBL)3113506(SSID)ssj0000889127(PQKBManifestationID)11488391(PQKBTitleCode)TC0000889127(PQKBWorkID)10876265(PQKB)11329768(MiAaPQ)EBC3113506(PPN)195411374(EXLCZ)99336000000046443819810901h19811981 uy| 0engur|n|---|||||txtccrOperations in connective K-theory /Richard M. KaneProvidence, Rhode Island :American Mathematical Society,[1981]©19811 online resource (110 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 254"Volume 34, number 254 (end of volume)."0-8218-2254-3 Bibliography: pages 101-102.""Table of Contents""; ""Introduction""; ""Chapter I: Main Results""; ""1. K and BP operations""; ""2. Operations in connective K-Theory""; ""3. Steenrod Modules""; ""4. Construction of Cohomology Operations""; ""Chapter II: The Spectra {K(n)}""; ""5. The spectra {K(n)}""; ""6. The homology and cohomology of K(n)""; ""7. Proof of Propositions 6:14 and 6:16""; ""8. Proof of Propositions 6:18 and 6:19""; ""9. The groups l[sub(*)](K(n))""; ""10. The spectra {K(E)}""; ""Chapter III: Splitting of l â? I""; ""11. The spectra K and l""; ""12. The Map f : K â?? l â? I""""13. Properties of f[sub(*)] : HZ/p[sub(*)](K) â?? HZ/p[sub(*)] l (â?) I""""14. Eilenberg-MacLane Spectra""; ""15. Properties 13:1 and 13:2""; ""16. Property 13:3""; ""17. Proof of 16:9 and 16:12""; ""18. Proof of Lemma 16:14""; ""19. The map f : K â?? l â? I in integral homology""; ""Chapter IV: The Operations {Q[sup(n)]}""; ""20. The operations {Q[sup(n)]}""; ""21. The operations {Q[sup(n)]} and Steenrod operations""; ""22. The spectrum L""; ""23. Splitting of l â? I""; ""24. The operations k[sub(n)] : L â?? Σ[sup(2n(p-1))]L""; ""25. Relations among the operations {Q[sup(n)]}""""26. Action of {Q[sup(n)]} on the coefficient ring l(m) [sup(*)](p)""""References""Memoirs of the American Mathematical Society ;no. 254.K-theorySteenrod algebraHomotopy groupsElectronic books.K-theory.Steenrod algebra.Homotopy groups.510 s514/.23Kane Richard M.1944-55375MiAaPQMiAaPQMiAaPQBOOK9910480610703321Operations in connective K-theory2295077UNINA