LEADER 02976nam 2200601 450 001 9910812526303321 005 20170918220111.0 010 $a1-4704-0661-6 035 $a(CKB)3360000000464438 035 $a(EBL)3113506 035 $a(SSID)ssj0000889127 035 $a(PQKBManifestationID)11488391 035 $a(PQKBTitleCode)TC0000889127 035 $a(PQKBWorkID)10876265 035 $a(PQKB)11329768 035 $a(MiAaPQ)EBC3113506 035 $a(RPAM)4206430 035 $a(PPN)195411374 035 $a(EXLCZ)993360000000464438 100 $a19810901h19811981 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOperations in connective K-theory /$fRichard M. Kane 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1981] 210 4$dİ1981 215 $a1 online resource (110 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 254 300 $a"Volume 34, number 254 (end of volume)." 311 $a0-8218-2254-3 320 $aBibliography: pages 101-102. 327 $a""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 a?? I""; ""11. The spectra K and l""; ""12. The Map f : K a??? l a?? I"" 327 $a""13. Properties of f[sub(*)] : HZ/p[sub(*)](K) a??? HZ/p[sub(*)] l (a??) 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 a??? l a?? 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 a?? I""; ""24. The operations k[sub(n)] : L a??? I?£[sup(2n(p-1))]L""; ""25. Relations among the operations {Q[sup(n)]}"" 327 $a""26. Action of {Q[sup(n)]} on the coefficient ring l(m) [sup(*)](p)""""References"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 254. 606 $aK-theory 606 $aSteenrod algebra 606 $aHomotopy groups 615 0$aK-theory. 615 0$aSteenrod algebra. 615 0$aHomotopy groups. 676 $a510 s 676 $a514/.23 700 $aKane$b Richard M.$f1944-$055375 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910812526303321 996 $aOperations in connective K-theory$94120946 997 $aUNINA