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Record Nr. |
UNINA9910480610703321 |
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Autore |
Kane Richard M. <1944-> |
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Titolo |
Operations in connective K-theory / / Richard M. Kane |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1981] |
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©1981 |
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ISBN |
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Descrizione fisica |
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1 online resource (110 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 254 |
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Disciplina |
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Soggetti |
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K-theory |
Steenrod algebra |
Homotopy groups |
Electronic books. |
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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 34, number 254 (end of volume)." |
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Nota di bibliografia |
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Bibliography: pages 101-102. |
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Nota di contenuto |
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""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)"""" |
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