Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Square Roots and Continuity in Strictly Linearly Ordered Semigroups on
  Real Intervals   In this article we show that the semigroup operation of a strictly linearly
ordered semigroup on a real interval is automatically continuous if each
element of the semigroup admits a square root. Hence, by a result of Acz\'el,
such a semigroup is isomorphic to an additive subsemigroup of the real numbers.

27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio