The Arone-Goodwillie spectral sequence for ${\Sigma }^{\infty }{\Omega }^n$ and topological realization at odd primes

Abstract

We employ the Goodwillie spectral sequence for the iterated loop space functor in order to provide realizability conditions on certain unstable modules over the Steenrod algebra at an odd prime.

Two figures, uses tikz; minor modifications

References in corpus (2)

• Topological nonrealization results via the Goodwillie tower approach to iterated loopspace homology
• Applications depuis K(Z/p, 2) et une conjecture de N. Kuhn

Cited by in corpus (1)

• Essential extensions, the nilpotent filtration and the Arone-Goodwillie tower