流形值映射的Mergelyan定理和Arakelian定理
Mergelyan's and Arakelian's theorems for manifold-valued maps
摘要：
本文证明了Mergelyan定理对从开黎曼曲面到Oka流形的映射成立。这是用来证明类似的阿拉克定理的一致逼近全纯映射从封闭的子集的平面$\mathbb C$的任何紧凑的复杂的齐次流形。
英文摘要：
In this paper we show that Mergelyan's theorem holds for maps from open Riemann surfaces to Oka manifolds. This is used to prove the analogue of Arakelian's theorem on uniform approximation of holomorphic maps from closed subsets of the plane $\mathbb C$ to any compact complex homogeneous manifold.
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