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
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.
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
@article{10_4153_CMB_2010_079_9,
author = {Theriault, Stephen D.},
title = {A {Case} {When} the {Fiber} of the {Double} {Suspension} is the {Double} {Loops} on {Anick's} {Space}},
journal = {Canadian mathematical bulletin},
pages = {730--736},
year = {2010},
volume = {53},
number = {4},
doi = {10.4153/CMB-2010-079-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-079-9/}
}
TY - JOUR AU - Theriault, Stephen D. TI - A Case When the Fiber of the Double Suspension is the Double Loops on Anick's Space JO - Canadian mathematical bulletin PY - 2010 SP - 730 EP - 736 VL - 53 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-079-9/ DO - 10.4153/CMB-2010-079-9 ID - 10_4153_CMB_2010_079_9 ER -
%0 Journal Article %A Theriault, Stephen D. %T A Case When the Fiber of the Double Suspension is the Double Loops on Anick's Space %J Canadian mathematical bulletin %D 2010 %P 730-736 %V 53 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-079-9/ %R 10.4153/CMB-2010-079-9 %F 10_4153_CMB_2010_079_9
Cité par Sources :