Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $G_\delta$-refinements   In this work we deal with the preservation by $G_\delta$-refinements. We
prove that for $\mathrm{SP}$-scattered spaces the metacompactness,
paralindel\"ofness, metalindel\"ofness and linear lindel\"ofness are preserved
by $G_\delta$-refinements. In this context we also consider some other
generalizations of discrete spaces like $\omega$-scattered and $N$-scattered.
In the final part of this paper we look at a question of Juh\'asz, Soukup,
Szentmikl\'ossy and Weiss concerning the tighness of the $G_\delta$-refinement
of a $\sigma$-product.

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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph