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Le principe d’Oka équivariant. (The equivariant Oka principle). (French) Zbl 0782.32021
The authors prove the following equivariant Oka principle: for $$K$$ a compact group of holomorphic transformations of a Stein manifold $$X$$, holomorphic $$K$$-vector bundles over $$X$$ which are topologically $$K$$- isomorphic are holomorphically $$K$$-isomorphic.

##### MSC:
 32L05 Holomorphic bundles and generalizations 32E10 Stein spaces