We describe topological properties, ranks, and closures as well as their dynamics for families of theories. Closures for families of theories are introduced based on sentences of the given theories. We look at properties of these closures and establish their relationship with standard closures. Values of e₁-spectra, as well as conditions for the existence of least generating sets, are characterized. Closures for linearly ordered families of theories are examined.

中文翻译：

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理论家族的拓扑、秩和闭包。二

我们描述了拓扑属性、等级和闭包以及它们的理论族动态。理论家族的闭包是根据给定理论的句子引入的。我们查看这些闭包的属性并建立它们与标准闭包的关系。e ₁ -spectra 的值以及最小生成集存在的条件被表征。检查了线性有序理论族的闭包。