We fully describe the form of the graphical limit of a sequence of \( K \)-quasimeromorphic mappings of a domain \( D \) in \( \overline{R^{n}} \) which take each of its values at \( N \) distinct points at most. For the family of all \( K \)-quasimeromorphic mappings of \( \overline{R^{n}} \) onto itself taking each value at \( N \) points at most we establish the presence of a common estimate for the distortion of the Ptolemaic characteristic of generalized tetrads (quadruples of disjoint compact sets).

中文翻译：

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准同形映射的图形极限与四分体特征的畸变

我们充分描述了域 \(D\) 在 \(\overline{R^{n}}\)中的\(K\) -准同纯映射序列的图形极限的形式 ，其每个值都为  最多\( N \)个不同点。对于所有\( K \) -准同纯映射的 \( \overline{R^{n}} \) 到其自身的家族，最多在 \( N \)点取每个值，我们建立了一个共同估计的存在广义四分体（不相交紧集的四元组）的托勒密特征的扭曲。