以下为句子列表：
英文: By the method of Every open set in Ris the union of an at most countable collection of disjoint connected open sets, the paper deals with some problems of countability in real analysis.
中文: 摘要以“平面上互不相交的若干开集所成之族至多可数”为基点，对一些相关结果给出了全新的直观化证明。
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