Decomposition of loop spaces and periodic problem on $π_*$

preprint2013arXivOpen access

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

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Decomposition of loop spaces and periodic problem on $π_*$

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Decomposition of loop spaces and periodic problem on π∗π_*π∗​

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Decomposition of loop spaces and periodic problem on $π_*$