Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The higher structure of unstable homotopy groups   We construct certain unstable higher-order homotopy operations indexed by the
simplex categories of $\Delta^{n}$ for ${n\geq 2}$ and prove that all elements
in the homotopy groups of a wedge of spheres are generated under such
operations by Whitehead products and the group structure. This provides a
stronger unstable analogue of Cohen's theorem on the decomposition of stable
homotopy.

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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: econ