论文标题
大规模拓扑中的非标准方法II
Nonstandard methods in large-scale topology II
论文作者
论文摘要
本文是Imamura(2019)(Arxiv:1711.01609)的续集,我们在其中建立了一个非标准大型拓扑结构的框架。在本文中,我们将框架应用于大规模拓扑的各种主题:具有小规模和大规模结构的空间,非标准扩展的大规模结构,粗空间子集的尺寸特性以及粗大的空间。
This paper is a sequel of Imamura (2019) (arXiv:1711.01609) where we set up a framework of nonstandard large-scale topology. In the present paper, we apply our framework to various topics in large-scale topology: spaces having with both small-scale and large-scale structures, large-scale structures on nonstandard extensions, size properties of subsets of coarse spaces, and coarse hyperspaces.