On the differentials in the Adams spectral sequence for the stable homotopy groups of spheres. I

Abstract

In (8), we have shown how, in general, the problem of identifying the differentials in the Adams spectral sequence (see(1),(4)) is equivalent to that of calculating certain higher-order cohomology operations (in the sense of (6)). However, we propose to investigate here a slightly different method, based on the naturality of the spectral sequence, which can be used to show that certain elements are never boundaries, for any differential.