论文标题
具有密集图像的摩尔形映射的近似和积累结果
Approximation and accumulation results of holomorphic mappings with dense image
论文作者
论文摘要
我们显示四个用于流动值映射的近似定理。第一个近似于$ \ bbb c^n $中的伪造域上的全体形态嵌入，并带有具有密集图像的Holomorphic Embeddings。第二个定理在复杂的歧管上近似于带有圆形映射的复杂歧管上的全态映射，并具有密集的图像。最后两个定理以相反的方式起作用，（在不同的设置中）构造了全体形态映射的序列（第一个映射中的嵌入）构建到具有在给定的紧凑型减去某些点上定义的密集图像的映射（因此通常不是全态）。
We display four approximation theorems for manifold-valued mappings. The first one approximates holomorphic embeddings on pseudoconvex domains in $\Bbb C^n$ with holomorphic embeddings with dense images. The second theorem approximates holomorphic mappings on complex manifolds with bounded images with holomorphic mappings with dense images. The last two theorems work the other way around, constructing (in different settings) sequences of holomorphic mappings (embeddings in the first one) converging to a mapping with dense image defined on a given compact minus certain points (thus in general not holomorphic).
