Abstract We consider properties of defined earlier families of sets which are microscopic (small) in some sense. An equivalent definition of considered families is given, which is helpful in simplifying a proof of the fact that each Lebesgue null set belongs to one of these families. It is shown that families of sets microscopic in more general sense have properties analogous to the properties of the σ-ideal of classic microscopic sets.

中文翻译：

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关于微观集合概念的一些概括的评论

摘要 我们考虑在某种意义上是微观的（小）集合的早期定义族的性质。给出了所考虑的族的等效定义，这有助于简化每个 Lebesgue 空集属于这些族之一这一事实的证明。结果表明，更一般意义上的微观集合族具有类似于经典微观集合的理想 σ 的性质。