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James-Hopf Invariants, Anick’s Spaces, and the Double Loops on Odd Primary Moore Spaces

Published online by Cambridge University Press:  20 November 2018

Joseph Neisendorfer
Joseph Neisendorfer*
Affiliation:
University of Rochester Rochester, New York U.S.A.
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Abstract

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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.

Keywords

55Q5255P35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 43 , Issue 2 , 01 June 2000 , pp. 226 - 235
Copyright
Copyright © Canadian Mathematical Society 2000

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