Date: Mon, 1 Feb 1999 11:06:28 +0100 Subject: Re: 4 diverse messages From: rognes@math.uio.no (John Rognes) Dear Mike, I know of the computation out to the 20-stem. Robert Mosher computed the 2-primary groups up to extensions in dimensions <= 19 in his 1968 Topology paper "Some stable homotopy of complex projective space". The extensions and the odd torsion in these dimensions was settled by Juno Mukai in his 1993 Japan J. Math paper "On stable homotopy of the comp[lex projective space". Using Mukai's 1994 Math. J. Okayama Univ. paper on kappa-bar, I extended this to the 20-stem. But I was more interested in CP^infty_{-1}, for which I might refer to section 2 of my preprint "Two-primary algebraic K-theory of pointed spaces" - see http://www.math.uio.no/~rognes/papers/whdiff_us.dvi Please let me know if you hear of any further calculations. Best regards, John Rognes