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On conjectures of Mahowald, Segal and Sullivan

1980/05/01 by Wen-Hsiung Lin · 1 citation

paper · doi:10.1017/s0305004100056887

Abstract

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 RP 2 N + m /RP 2 N − m as N, m → ∞, G. Segal's Burnside ring conjecture for and the stable analogue of a conjecture of D. Sullivan on RP ∞ .

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