Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Orderability Problem and the Interval Topology   The class of LOTS (linearly ordered topological spaces, i.e. spaces equipped
with a topology generated by a linear order) contains many important spaces,
like the set of real numbers, the set of rational numbers and the ordinals.
Such spaces have rich topological properties, which are not necessarily
hereditary. The Orderability Problem, a very important question on whether a
topological space admits a linear order which generates a topology equal to the
topology of the space, was given a general solution by J. van Dalen and E.
Wattel, in 1973. In this article we first investigate the role of the interval
topology in van Dalen's and Wattel's characterization of LOTS, and we then
examine ways to extend this model to transitive relations that are not
necessarily linear orders.

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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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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: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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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: ao-sci
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The categories of this paper are: stat