拓扑空间上星选择性质的迭代与并
Iterations and unions of star selection properties on topological spaces
摘要：
在本文中，我们调查什么选择原则的性质所拥有的小（相对于边界和控制数）工会的空间与某些（星）选择原则。进一步，我们给出了这些性质的迭代和比仿紧性弱的性质的几个结果。此外，我们还研究了这些迭代性质在$Ψ$ -空间上的行为。最后，我们证明，一贯，有一个正常的星门格尔空间，这不是强星门格尔。
英文摘要：
In this paper, we investigate what selection principles properties are possessed by small (with respect to the bounding and dominating numbers) unions of spaces with certain (star) selection principles.. Furthermore, we give several results about iterations of these properties and weaker properties than paracompactness. In addition, we study the behaviour of these iterated properties on $Ψ$-spaces. Finally, we show that, consistently, there is a normal star-Menger space that is not strongly star-Menger.
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。
