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

Weidong Chen; Jie Wu

doi:10.2140/agt.2013.13.3245

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Home > Journals > Algebr. Geom. Topol. > Volume 13 > Issue 6 > Article

2013 Decomposition of loop spaces and periodic problem on $\pi_{\ast}$

Weidong Chen, Jie Wu

Algebr. Geom. Topol. 13(6): 3245-3260 (2013). DOI: 10.2140/agt.2013.13.3245

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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.

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Weidong Chen. Jie Wu. "Decomposition of loop spaces and periodic problem on $\pi_{\ast}$." Algebr. Geom. Topol. 13 (6) 3245 - 3260, 2013. https://doi.org/10.2140/agt.2013.13.3245

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Received: 17 October 2012; Revised: 6 May 2013; Accepted: 22 May 2013; Published: 2013

First available in Project Euclid: 19 December 2017

zbMATH: 1278.55017

MathSciNet: MR3248733

Digital Object Identifier: 10.2140/agt.2013.13.3245

Subjects:

Primary: 55P35

Secondary: 55Q10 , 55Q52

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

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Weidong Chen, Jie Wu "Decomposition of loop spaces and periodic problem on $\pi_{\ast}$," Algebraic & Geometric Topology, Algebr. Geom. Topol. 13(6), 3245-3260, (2013)

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