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Separately normal maps |
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| Abstract: | It is shown that a separately normal map is holomorphic and a separately normal family which is separately uniformly normal is a normal family extending a result by Barth that a separately holomorphic map into hyperbolic spaces is holomorphic and a separately normal family of maps into hyperbolic spaces is a normal family. |
| Keywords: | Hyperbolic Separately normal Uniformly normal 1991 Mathematics Subject Classifications: Primary 32A10 32A17 32H20 |