Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of proper minimal surfaces of arbitrary topological type   Consider a domain D in R^3 which is convex (possibly all R^3) or which is
smooth and bounded. Given any open surface M, we prove that there exists a
complete, proper minimal immersion f : M --> D. Moreover, if D is smooth and
bounded, then we prove that the immersion f : M --> D can be chosen so that the
limit sets of distinct ends of M are disjoint connected compact sets in the
boundary of D.

29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol