#### Volume 13, issue 6 (2013)

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Decomposition of loop spaces and periodic problem on $\pi_{\ast}$

### Chen Weidong and Jie Wu

Algebraic & Geometric Topology 13 (2013) 3245–3260
##### Abstract

We provide a family of spaces localized at $2$, whose stable homotopy groups are summands of their unstable homotopy groups. Applications to mod $2$ Moore spaces are given.

##### Keywords
loop spaces, stable homotopy groups, homotopy groups of 2–cell complexes
##### Mathematical Subject Classification 2010
Primary: 55P35
Secondary: 55Q10, 55Q52