On Jones's Kahn-priddy Theorem
نویسنده
چکیده
In this note we record a simple proof of a beautiful result of J.D.S. Jones, stating that the Mahowald root invariant of a stable homotopy class a has dimension at least twice that of c~. This result is a natural strengthening of the Kahn-Priddy theorem. Our contribution is simply to provide a postcard-length proof of the key" diagram (3.i) (which occurs on p. 481 of [2]), but we take the opportunity to restate the notions of root invariant and quadratic construction, and the connection with the Kahn-Priddy theorem. We also deal with odd primes, after J. P. May [1]. We end with a proof of Mahowald's theorem that a i e R(pi), and the observation that Jones's
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