A Case When the Fiber of the Double Suspension is the Double Loops on Anick's Space

Abstract

AbstractThe fiber Wn of the double suspension S2n–1 → Ω2S2n+1 is known to have a classifying space BWn. An important conjecture linking the EHP sequence to the homotopy theory of Moore spaces is that BWn ≃ ΩT2np+1(p), where T2np+1(p) is Anick's space. This is known if n = 1. We prove the n = p case and establish some related properties.