Anick’s spaces and the double loops of odd primary Moore spaces

Theriault, Stephen

doi:10.1090/S0002-9947-00-02622-2

Anick’s spaces and the double loops of odd primary Moore spaces
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by Stephen D. Theriault

Trans. Amer. Math. Soc. 353 (2001), 1551-1566

DOI: https://doi.org/10.1090/S0002-9947-00-02622-2

Published electronically: October 11, 2000

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Abstract:

Several properties of Anick’s spaces are established which give a retraction of Anick’s $\Omega T_\infty$ off $\Omega ^2P^{2np+1}(p^r)$ if $r\ge 2$ and $p\ge 5$. The proof is alternate to and more immediate than the two proofs of Neisendorfer’s.

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