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1. CMB 2010 (vol 53 pp. 730)

Theriault, Stephen D.
A Case When the Fiber of the Double Suspension is the Double Loops on Anick's Space
The fiber $W_{n}$ of the double suspension $S^{2n-1}\rightarrow\Omega^{2} S^{2n+1}$ is known to have a classifying space $BW_{n}$. An important conjecture linking the $EHP$ sequence to the homotopy theory of Moore spaces is that $BW_{n}\simeq\Omega T^{2np+1}(p)$, where $T^{2np+1}(p)$ is Anick's space. This is known if $n=1$. We prove the $n=p$ case and establish some related properties.

Keywords:double suspension, Anick's space
Categories:55P35, 55P10

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