Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Complexity of H-Spaces   Let X be a (not-necessarily homotopy-associative) H-space. We show that
TC_{n+1}(X) = cat(X^n), for n >= 1, where TC_{n+1}(-) denotes the so-called
higher topological complexity introduced by Rudyak, and cat(-) denotes the
Lusternik-Schnirelmann category. We also generalize this equality to an
inequality, which gives an upper bound for TC_{n+1}(X), in the setting of a
space Y acting on X.

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The categories of this paper are: cond-mat
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The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org