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On relative β-normality
Acta Mathematica Hungarica ( IF 0.9 ) Pub Date : 2019-12-16 , DOI: 10.1007/s10474-019-01006-4
A. K. Das , S. S. Raina

The notions of α-normality and β-normality were introduced by Arhangel’skii and L. Ludwig [4]. In the present paper, we have investigated these concepts in relative sense, proved their dependency and independency on other versions of relative normality. Some relative versions of β normality are defined, their relations with various version of relative normality are discussed and it is observed that some absolute versions of normality coincide with normality in a class of relative variant of β-normal.

中文翻译:

关于相对β-正态性

Arhangel'skii 和 L. Ludwig [4] 引入了 α-正态性和 β-正态性的概念。在本文中,我们从相对意义上研究了这些概念,证明了它们对其他相对正态性版本的依赖性和独立性。定义了 β 正态的一些相对版本,讨论了它们与各种相对正态版本的关系,并观察到一些绝对版本的正态与 β 正态相对变体中的正态一致。
更新日期:2019-12-16
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