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.

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Keywords
loop spaces, stable homotopy groups, homotopy groups of 2–cell complexes
Mathematical Subject Classification 2010
Primary: 55P35
Secondary: 55Q10, 55Q52
References
Publication
Received: 17 October 2012
Revised: 6 May 2013
Accepted: 22 May 2013
Published: 23 September 2013
Authors
Chen Weidong
Centre for Maritime Studies
National University of Singapore
12 Prince George’s Park
Singapore 118411
Singapore
Jie Wu
Department of Mathematics
National University of Singapore
Block S17 (SOC1), 06-02
10, Lower Kent Ridge Road
Singapore 119076
Singapore
http://www.math.nus.edu.sg/~matwujie