辐射度的内部表征
An internal characterisation of radiality
摘要：
在这篇文章中，我们将通过考虑由套生成的邻域基来研究拓扑空间中径向性是如何发生的。我们将定义一个新的径向空间子类，称为独立基空间，它包含LOTS，GO-空间和具有良序邻域基的空间。我们证明了第一可数空间正是独立基的强Fréchet空间，并给出了一个既不是独立基也不是强Fréchet的Fréchet-Urysohn空间的例子。
英文摘要：
In this paper, we will investigate how radiality occurs in topological spaces by considering neighbourhood bases generated by nests. We will define a new subclass of radial spaces, called the independently-based spaces, that contains LOTS, GO-spaces and spaces with well-ordered neighbourhood bases. We show that first-countable spaces are precisely the independently-based, strongly Fréchet spaces and we give an example of a Fréchet-Urysohn space that is neither independently-based nor strongly Fréchet.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
