Algebraic Kahn-Priddy theorem

Wen Hsiung Lin

Vol. 96 (1981), No. 2, 435–455

DOI: 10.2140/pjm.1981.96.435

Abstract

There is an epimorphism from the stable homotopy of the infinite real projective space RP^∞ to the (2-component) stable homotopy of spheres. This is the well known Kahn-Priddy theorem and was originally a conjecture of M. E. Mahowald and G. W. Whitehead. Mahowald also conjectured that the epimorphism should occur in the E₂ terms of the Adams spectral sequences. We prove this conjecture is true.

Mathematical Subject Classification 2000

Primary: 55T15

Milestones

Received: 24 July 1979

Published: 1 October 1981