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On conjectures of Mahowald, Segal and Sullivan

  • Wen-Hsiung Lin (a1)

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

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

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(1) J. F. Adams On the structure and applications of the Steenrod algebra. Comm. Math. Helv. 32 (1958), 180214.

(2) J. F. Adams Vector fields on spheres. Ann. of Math. 75 (1962), 603632.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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