2-Primary Anick Fibrations
Algebraic Topology
2014-02-26 v1
Abstract
Cohen conjectured that for r>=2 there is a space T^2n+1(2^r) and a homotopy fibration sequence Loop^2 S^2n+1 --> S^2n-1 --> T^2n+1(2^r) --> Loop S^2n+1 with the property that the left map composed with the double suspension, Loop^2 S^2n+1 --> S^2n-1 --> Loop^2 S^2n+1, is homotopic to the 2^r-power map. We positively resolve this conjecture when r>=3. Several preliminary results are also proved which are of interest in their own right.
Keywords
Cite
@article{arxiv.0804.2359,
title = {2-Primary Anick Fibrations},
author = {Stephen Theriault},
journal= {arXiv preprint arXiv:0804.2359},
year = {2014}
}
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27 pages