English

On the metastable homotopy of mod 2 Moore spaces

Algebraic Topology 2016-07-20 v1

Abstract

In this article, we study the exponents of metastable homotopy of mod 22 Moore spaces. Our result gives that the double loop space of 4n4n-dimensional mod 22 Moore spaces has a multiplicative exponent 44 below the range of 44 times the connectivity. As a consequence, the homotopy groups of 4n4n-dimensional mod 22 Moore spaces have an exponent 44 below the range of 44 times the connectivity.

Keywords

Cite

@article{arxiv.1506.00945,
  title  = {On the metastable homotopy of mod 2 Moore spaces},
  author = {Roman Mikhailov and Jie Wu},
  journal= {arXiv preprint arXiv:1506.00945},
  year   = {2016}
}

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23 pages