Algebraic & Geometric Topology

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

Weidong Chen and Jie Wu

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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.

Article information

Source
Algebr. Geom. Topol., Volume 13, Number 6 (2013), 3245-3260.

Dates
Received: 17 October 2012
Revised: 6 May 2013
Accepted: 22 May 2013
First available in Project Euclid: 19 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.agt/1513715732

Digital Object Identifier
doi:10.2140/agt.2013.13.3245

Mathematical Reviews number (MathSciNet)
MR3248733

Zentralblatt MATH identifier
1278.55017

Subjects
Primary: 55P35: Loop spaces
Secondary: 55Q10: Stable homotopy groups 55Q52: Homotopy groups of special spaces

Keywords
loop spaces stable homotopy groups homotopy groups of 2–cell complexes

Citation

Chen, Weidong; Wu, Jie. Decomposition of loop spaces and periodic problem on $\pi_{\ast}$. Algebr. Geom. Topol. 13 (2013), no. 6, 3245--3260. doi:10.2140/agt.2013.13.3245. https://projecteuclid.org/euclid.agt/1513715732


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References

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    Zentralblatt MATH: 1034.55009
    Digital Object Identifier: doi:10.1007/s00229-002-0353-1
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    Mathematical Reviews (MathSciNet): MR2221079
    Zentralblatt MATH: 1107.55005
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Algebraic & Geometric Topology

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