Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Big-Line-Big-Clique Conjecture is False for Infinite Point Sets   The big-line-big-clique conjecture states that for all $k,\ell\geq2$ there is
an integer $n$ such that every finite set of at least $n$ points in the plane
contains $\ell$ collinear points or $k$ pairwise visible points. We show that
this conjecture is false for infinite point sets, by constructing a countably
infinite point set with no 4 collinear points and no 3 pairwise visible points.

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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
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The categories of this paper are: eess
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
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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: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat