James-Hopf Invariants, Anick's Spaces, and the Double Loops on Odd Primary Moore Spaces
Printed: Jun 2000
Using spaces introduced by Anick, we construct a decomposition into
indecomposable factors of the double loop spaces of odd primary Moore
spaces when the powers of the primes are greater than the first power.
If $n$ is greater than $1$, this implies that the odd primary part
of all the homotopy groups of the $2n+1$ dimensional sphere lifts
to a $\mod p^r$ Moore space.
55Q52 - Homotopy groups of special spaces
55P35 - Loop spaces