arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1504.01415math.LO
收藏

包含初等子模型的类递归构造

A quotient-like construction involving elementary submodels

Peter Burton

摘要:

本文研究了从空间和包含它的初等子模型导出拓扑的方法,首先定义并给出了这种构造的基本性质,称为$X/M$。在下一节中,我们构造了一些例子,并分析了$X$和$X/M$之间的拓扑关系。在最后一节中,我们应用$X/M$得到了Lindelöf空间的新结果,部分回答了F.D. Tall和M的另一个问题。Scheepers。

英文摘要:

This article is an investigation of a method of deriving a topology from a space and an elementary submodel containing it. We first define and give the basic properties of this construction, known as $X/M$. In the next section, we construct some examples and analyse the topological relationship between $X$ and $X/M$. In the final section, we apply $X/M$ to get novel results about Lindelöf spaces, giving partial answers to a question of F.D. Tall and another question of Tall and M. Scheepers.

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。

↑