Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Oka properties of ball complements   Let $n>1$ be an integer. We prove that holomorphic maps from Stein manifolds
$X$ of dimension $<n$ to the complement $\mathbb{C}^n\setminus L$ of a compact
convex set $L\subset\mathbb{C}^n$ satisfy the basic Oka property with
approximation and interpolation. If $L$ is polynomially convex then the same
holds when $2\dim X < n$. We also construct proper holomorphic maps, immersions
and embeddings $X\to\mathbb{C}^n$ with additional control of the range, thereby
extending classical results of Remmert, Bishop and Narasimhan.

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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph