In this paper, we prove some conditions for existence of an extension of a real (quasi-continuous) function with a closed graph defined on a given dense subset D of a topological space X to a (quasi-continuous) function with a closed graph on whole X.

中文翻译：

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稠密子空间中闭图函数和闭图拟连续函数的扩展

在本文中，我们证明了在拓扑空间X的给定稠密子集D上定义的具有闭合图的实（拟连续）函数扩展到具有闭合图的（拟连续）函数的存在性整体 X .