In this paper, we define a weak type of soft Menger spaces, namely, nearly soft Menger spaces. We give their complete description using soft -regular open covers and prove that they coincide with soft Menger spaces in the class of soft regular spaces. Also, we study the role of enriched and soft regular spaces in preserving nearly soft Mengerness between soft topological spaces and their parametric topological spaces. Finally, we establish some properties of nearly soft Menger spaces with respect to hereditary and topological properties and product spaces.

中文翻译：

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几乎软的Menger空间

在本文中，我们定义了一个软类型的Menger空间，即接近软的Menger空间。我们使用软给他们完整的描述-常开盖子，并证明他们与类软正规的软门格尔空间一致的空间。此外，我们研究了丰富的规则空间和软规则空间在保持软拓扑空间与其参数化拓扑空间之间接近软的Mengerness方面的作用。最后，关于遗传和拓扑特性以及乘积空间，我们建立了几乎软的Menger空间的某些特性。