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Joseph Neisendorfer - James-Hopf invariants, Anick's spaces, and decompositions of the double loops on a Moore space



JOSEPH NEISENDORFER, University of Rochester
James-Hopf invariants, Anick's spaces, and decompositions of the double loops on a Moore space


Using spaces introduced by Anick, we construct a decompostion 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.



 

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