Mod p connected k theory and the stable homotopy groups of spheres by cao xueqin file id 36669e freemium media library mod p connected k theory and the stable homotopy groups of spheres page 1 mod p connected k theory and the stable homotopy groups of spheres by cao xueqin appendix a3 tables of homotopy groups of spheres 361 the adams spectral sequence for p 2 below dimension 62 the adams . Mod p connected k theory and the stable homotopy groups of spheres james c alexander on amazoncom free shipping on qualifying offers. The homotopy groups of the algebraic k theory of the sphere spectrum andrew j blumberg and michael a mandell abstract we calculate the homotopy groups of ks in terms of the homo topy groups of kz the homotopy groups of cp 1 and the homotopy groups of s this completes the program begun by waldhausen who computed the rational homotopy groups building on work of quillen and . Let bu denote the connected k theory spectrum and let im j denote the connected image of j spectrum for an odd prime p we prove that bugbp is characterized by its homotopy groups and i periodic structure thereafter we prove that spectrum maps from bugbp to b im j are detected on homotopy groups. The k theory localization of the sphere spectrum was constructed and its homotopy groups were computed in sce also 18 in the mod p homotopy groups of xk for any spectrum x arc shown to be essentially the mod p vi periodic homotopy groups of x
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