Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graphs that are not complete pluripolar   Let D_1 be a subdomain of D_2 in the complex plane CC. Under very mild
conditions on D_2 we show that there exist holomorphic functions f, defined on
D_1 with the property that $f$ is nowhere extendible across the boundary of
D_1, while the graph of f over D_1 is NOT complete pluripolar in D_2 times CC.
This refutes a conjecture of Levenberg, Martin and Poletsky.

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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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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: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: funct-an