Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Fox spaces and Jacobi identities   In 1945, R. Fox introduced the so-called Fox torus homotopy groups in which
the usual homotopy groups are embedded and their Whitehead products are
expressed as commutators. A modern treatment of Fox torus homotopy groups and
their generalization has been given and studied. In this note, we further
explore these groups and their properties. We discuss co-multiplications on Fox
spaces and a Jacobi identity for the generalized Whitehead products and the
$\Gamma$-Whitehead products.

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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: atom-ph