Titlebook: Stable Homotopy Around the Arf-Kervaire Invariant; Victor P. Snaith Book 2009 Birkh?user Basel 2009 Adams operation.Algebraic topology.Arf

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Algebraic Topology Background,opy groups of spheres via the stable homotopy groups of ??.. §6 recapitulates the properties of Steenrod’s cohomology operations and § 7 does the same for the Dyer-Lashof algebra of homology operations. Finally § 8 describes several equivalent formulations of the Arf-Kervaire invariant one problem.

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The Arf-Kervaire Invariant via ,s concerned with the mod 2 homology of . we have to consider the case when . is connected. Fortunately, by virtue of the Kahn-Priddy theorem of Chapter 1 Theorem 1.5.10, it is no restriction to consider only connected . since we can study the case when . = ??