Geodesic
A Case When the Fiber of the Double Suspension is the Double Loops on Anick's Space
Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 730-736

Voir la notice de l'article provenant de la source Cambridge University Press

The fiber ${{W}_{n}}$ of the double suspension ${{S}^{2n-1}}\,\to \,{{\Omega }^{2}}{{S}^{2n+1}}$ is known to have a classifying space $B{{W}_{n}}$ . An important conjecture linking the $EPH$ sequence to the homotopy theory of Moore spaces is that $B{{W}_{n}}\,\simeq \,\Omega {{T}^{2np+1}}(p)$ , 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.
DOI : 10.4153/CMB-2010-079-9
Mots-clés : 55P35, 55P10, double suspension, Anick's space 
Theriault, Stephen D. A Case When the Fiber of the Double Suspension is the Double Loops on Anick's Space. Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 730-736. doi: 10.4153/CMB-2010-079-9
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