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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeJul 17th 2021
• (edited Jul 17th 2021)

From the latter I quoted the fact (now this Prop.) that complex projective space is Oka.

On another note, I am suspecting that there is little material that wouldn’t want to go both to Oka manifold and Oka principle and am thinking the two might need to be merged.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJul 17th 2021

added the statement (here) that coset space of complex Lie groups are Oka manifolds

• CommentRowNumber3.
• CommentAuthorDmitri Pavlov
• CommentTimeJul 17th 2021
• (edited Jul 17th 2021)

The complement of any compact polynomially convex subset of $\mathbf{C}^n$ ($n\gt1$) is an Oka manifold. (Kusakabe \cite[Theorem 1.2, Corollary 1.3]{Kusakabe}.)

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeJul 19th 2021
• (edited Jul 19th 2021)

Thanks. That \cite-syntax is not supported here, but a simpler syntax is: I have fixed it to [Kusakabe 20, Theorem 1.2, Corollary 1.3](#Kusakabe20) (here).