Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Locally Fine Coreflection and Normal Covers in the Products of
  Partition-complete Spaces   We prove that the countable product of supercomplete spaces having a
countable closed cover consisting of partition-complete subspaces is
supercomplete with respect to its metric-fine coreflection. Thus, countable
products of sigma-partition-complete paracompact spaces are again paracompact.
On the other hand, we show that in arbitrary products of partition-complete
paracompact spaces, all normal covers can be obtained via the locally fine
coreflection of the product of fine uniformities.

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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: chem-ph