In this paper, we contribute to the growing literature on soft topology. Its theoretical underpinning merges point-set or classical topology with the characteristics of soft sets (a model for the representation of uncertain knowledge initiated in 1999). We introduce two types of axioms that generalize suitable concepts of soft separability. They are respectively concerned with calibers and chain conditions. We investigate explicit procedures for the construction of non-trivial soft topological spaces that satisfy these new axioms. Then we explore the role of cardinality in their study, and the relationships among these and other properties. Our results bring to light a fruitful field for future research in soft topology.

中文翻译：

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软拓扑中的口径和链条件

在本文中，我们为越来越多的软拓扑文献做出了贡献。其理论基础将点集或经典拓扑与软集（1999 年发起的不确定知识表示模型）的特征相结合。我们介绍了两种类型的公理，它们概括了软可分性的合适概念。它们分别与口径和链条条件有关。我们研究了构建满足这些新公理的非平凡软拓扑空间的明确程序。然后我们探索基数在他们的研究中的作用，以及这些和其他属性之间的关系。我们的结果为软拓扑的未来研究带来了一个富有成果的领域。