Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Clones from Creatures   A clone on a set X is a set of finitary operations on X which contains all
the projections and is closed under composition.
  The set of all clones forms a complete lattice Cl(X) with greatest element O,
the set of all finitary operations. For finite sets X the lattice is "dually
atomic": every clone other than O is below a coatom of Cl(X).
  It was open whether Cl(X) is also dually atomic for infinite X. Assuming the
continuum hypothesis, we show that there is a clone C on a countable set such
that the interval of clones above C is linearly ordered, uncountable, and has
no coatoms.

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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph