Decomposition of loop spaces and periodic problem on π∗

Chen, Weidong; Wu, Jie

doi:10.2140/agt.2013.13.3245

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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

DOI: 10.2140/agt.2013.13.3245

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

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

Volume 13, issue 6 (2013)