Sobriety, well-filteredness, and monotone convergence are three of the most important properties of topological spaces extensively studied in domain theory. Some other weak forms of sobriety and well-filteredness have also been investigated by some authors. In this paper, we introduce the notion of Θ-fine spaces, which provides a unified approach to such properties. In addition, this general approach leads to the definitions of some new topological properties.

中文翻译：

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一些非豪斯多夫拓扑性质的统一方法

清醒、过滤良好和单调收敛是域理论中广泛研究的拓扑空间的三个最重要的属性。一些作者还研究了其他一些较弱的清醒和过滤良好的形式。在本文中，我们介绍了 Θ-fine 空间的概念，它为此类属性提供了统一的方法。此外，这种通用方法导致了一些新拓扑性质的定义。