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James-Hopf Invariants, Anick's Spaces, and the Double Loops on Odd Primary Moore Spaces |
Canad. Math. Bull. 43(2000), 226-235
Published:2000-06-01
Printed: Jun 2000
Printed: Jun 2000
- Joseph Neisendorfer
Abstract
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.
| MSC Classifications: |
55Q52 - Homotopy groups of special spaces 55P35 - Loop spaces |