Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Oka's principle for holomorphic fiber bundles with sprays   We give a proof of the following theorem of M. Gromov (Oka's principle for
holomorphic sections of elliptic bundles, J. Amer. Math. Soc., 2 (1989),
851-897). Let Z be a holomorphic fiber bundle over a Stein manifold. If the
fiber of Z admits a dominating holomorphic spray then the inclusion of the
space of global holomorphic sections of Z into the space of continuous sections
is a weak homotopy equivalence. In the classical case when the fiber is a
complex Lie group or a homogeneous space this was proved by H. Grauert (Math.
Ann., 135 (1958), 263--273). For further results in this direction see the
papers math.CV/0101040, math.CV/0101040, math.CV/0101034, math.CV/0101238,
math.CV/0107039, math.CV/0110201.

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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th