Abstract A.V. Arhangel'skii introduced the dimension-like function Dind (see [2] ) and some of its properties were proved in [1] and [5] . In this paper, we define the base dimension-like function of the type Dind, denoted by b - Dind , and study the property of universality for this function, proving that in a class of bases which is determined by b - Dind there exist universal elements.

中文翻译：

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Dind 和普适性类型的基维类函数

摘要 AV Arhangel'skii 引入了类维函数Dind（见[2]），并在[1]和[5]中证明了它的一些性质。在本文中，我们定义了类型为 Dind 的类基维函数，记为 b - Dind ，并研究该函数的普遍性性质，证明在由 b - Dind 确定的一类基中存在普遍性元素。