Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mildly version of Hurewicz Basis covering property and Hurewicz measure
  zero spaces   In this paper, we introduced the mildly version of the Hurewicz basis
covering property, studied by Babinkostova, Ko\v{c}inac, and Scheepers. A space
$X$ is said to have mildly-Hurewicz property if for each sequence $\langle
\mathcal{U}_n : n\in \omega \rangle$ of clopen covers of $X$ there is a
sequence $\langle \mathcal{V}_n : n\in \omega \rangle$ such that for each $n$,
$\mathcal{V}_n$ is a finite subset of $\mathcal{U}_n$ and for each $x\in X$,
$x$ belongs to $\bigcup\mathcal{V}_n$ for all but finitely many $n$. Then we
characterized mildly-Hurewicz property by mildly-Hurewicz Basis property and
mildly-Hurewicz measure zero property for metrizable spaces.

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The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph