English

Sober metric approach spaces

General Topology 2017-06-20 v2 Category Theory

Abstract

It is proved that a metric space is sober, as an approach space, if and only if it is Smyth complete.

Cite

@article{arxiv.1607.03208,
  title  = {Sober metric approach spaces},
  author = {Wei Li and Dexue Zhang},
  journal= {arXiv preprint arXiv:1607.03208},
  year   = {2017}
}

Comments

23 pages

R2 v1 2026-06-22T14:51:58.446Z