Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Calabi-Yau problem for minimal surfaces with Cantor ends   We show that every connected compact or bordered Riemann surface contains a
Cantor set whose complement admits a complete conformal minimal immersion in
$\mathbb R^3$ with bounded image. The analogous result holds for holomorphic
immersions into any complex manifold of dimension at least $2$, for holomorphic
null immersions into $\mathbb C^n$ with $n\ge 3$, for holomorphic Legendrian
immersions into an arbitrary complex contact manifold, and for superminimal
immersions in an arbitrary self-dual or anti-self-dual Einstein four-manifold.

10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: q-fin