Algebraic Kahn-Priddy theorem
Wên Hsiung Lin · Pacific Journal of Mathematics · 1981
There is an epimorphism from the stable homotopy of the infinite real protective 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 E 2 terms of the Adams spectral sequences.We prove this conjecture is true.