Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measurable regularity of infinite-dimensional Lie groups based on Lusin
  measurability   We discuss Lebesgue spaces $\mathcal{L}^p([a,b],E)$ of Lusin measurable
vector-valued functions and the corresponding vector spaces $AC_{L^p}([a,b],E)$
of absolutely continuous functions. These can be used to construct Lie groups
$AC_{L^p}([a,b],G)$ of absolutely continuous functions with values in an
infinite-dimensional Lie group $G$. We extend the notion of $L^p$-regularity of
infinite-dimensional Lie groups introduced by Gl\"ockner to this setting and
adopt several results and tools.

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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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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: gr-qc
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The categories of this paper are: cmp-lg
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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: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga