Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Metrizability of Clifford topological semigroups   We prove that a topological Clifford semigroup $S$ is metrizable if and only
if $S$ is an $M$-space and the set $E=\{e\in S:ee=e\}$ of idempotents of $S$ is
a metrizable $G_\delta$-set in $S$. The same metrization criterion holds also
for any countably compact Clifford topological semigroup $S$.

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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
9
The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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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: stat