Abstract
This article brings an approximation theorem for sections of Oka pairs of sheaves of homogeneous spaces (such sheaves were introduced in [15]). Among the applications are: an Oka principle for the approximation of a generating system for a coherent analytic sheaf and an Oka principle for the approximation of a holomorphic fibre bundle with homogeneous fibre (without a structure group). Together with a homotopy theorem [15] for Oka pairs of sheaves of homogeneous spaces, a theoretical unification is thus given for various known results on the Oka principle [12,20,6,7].
Original language | German |
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Pages (from-to) | 153-173 |
Number of pages | 21 |
Journal | Manuscripta Mathematica |
Volume | 13 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1974 |