远点与离散生成空间
Far points and discretely generated spaces
摘要：
我们给出了Alas，Junqueria和Wilson提出的一个问题的部分解，证明了在PFA下，局部紧的离散生成的可数紧空间的一点紧化也是离散生成的.在此基础上，研究了可分度量化空间的远集和远集的最小可能特征标所给出的基数。最后，我们证明了在某些情况下，可数空间有远点。
英文摘要：
We give a partial solution to a question by Alas, Junqueria and Wilson by proving that under PFA the one-point compactification of a locally compact, discretely generated and countably tight space is also discretely generated. After this, we study the cardinal number given by the smallest possible character of remote and far sets of separable metrizable spaces. Finally, we prove that in some cases a countable space has far points.
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。
