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arXiv · 1506.00945

On the metastable homotopy of mod 2 Moore spaces

Roman Mikhailov·Jie Wu
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Abstract

In this article, we study the exponents of metastable homotopy of mod $2$ Moore spaces. Our result gives that the double loop space of $4n$-dimensional mod $2$ Moore spaces has a multiplicative exponent $4$ below the range of $4$ times the connectivity. As a consequence, the homotopy groups of $4n$-dimensional mod $2$ Moore spaces have an exponent $4$ below the range of $4$ times the connectivity.

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Roman Mikhailov, Jie Wu. 2015-06-02. On the metastable homotopy of mod 2 Moore spaces. https://doi.org/10.2140/agt.2016.16.1773

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