Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The range of holomorphic maps at boundary points   We prove a boundary version of the open mapping theorem for holomorphic maps
between strongly pseudoconvex domains. That is, we prove that the local image
of a holomorphic map $f:D\to D'$ close to a boundary regular contact point
$p\in \de D$ where the Jacobian is bounded from zero along normal
non-tangential directions has to eventually contain every cone (and more
generally every admissible region) with vertex at $f(p)$.

34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ