Subject: question for the mailing list
Date: Thu, 12 Feb 2004 00:44:11 -0000
From: "Neil Strickland" <N.P.Strickland@sheffield.ac.uk>
To: "Don Davis" <dmd1@lehigh.edu>

Let \eta : S^3 --> S^2 be the Hopf map, and let
H : \Omega S^2 --> \Omega S^3 be the Hopf invariant.
The map

               \Omega^3\eta
 \Omega^3 S^3 ---------------> \Omega^3 S^2

is an equivalence, and the map

               \Omega^2 H
 \Omega^3 S^2 ---------------> \Omega^3 S^3

is a 2-local equivalence.  Can anyone tell me if the
composite is 2-locally homotopic to the identity?

Neil