Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

On conjectures of Mahowald, Segal and Sullivan

Wen-Hsiung Lina1

a1 National Cheng-Chi University, Taipei, Taiwan

In this paper we prove some results about the stable homotopy and cohomotopy of spaces related to the infinite real protective space RP. These include M. E. Mahowald's conjecture on the limit of stable homotopy of stunted real projective spaces RP2N+m/RP2Nm as N, m → ∞, G. Segal's Burnside ring conjecture for

S0305004100056887_eqnU1

and the stable analogue of a conjecture of D. Sullivan on RP.

(Received October 29 1979)