English

Some open problems on well-filtered spaces and sober spaces

General Topology 2020-05-05 v1

Abstract

In the past few years, the research on sober spaces and well-filtered spaces has got some breakthrough progress. In this paper, we shall present a brief summarising survey on some of such development. Furthermore, we shall pose and illustrate some open problems on well-filtered spaces and sober spaces.

Keywords

Cite

@article{arxiv.2005.00539,
  title  = {Some open problems on well-filtered spaces and sober spaces},
  author = {Xiaoquan Xu and Dongsheng Zhao},
  journal= {arXiv preprint arXiv:2005.00539},
  year   = {2020}
}

Comments

17 pages. arXiv admin note: text overlap with arXiv:2003.07737, arXiv:1909.09303, arXiv:1911.11618

R2 v1 2026-06-23T15:14:53.368Z