English

Separation Axioms Among US

General Topology 2025-02-25 v1

Abstract

A standard introductory result is that Hausdorff spaces have the property US, that is, each convergent sequence has a unique limit. This paper explores several existing and new characterizations of separation axioms that are strictly weaker than T2T_2 but strictly stronger than US.

Keywords

Cite

@article{arxiv.2502.16764,
  title  = {Separation Axioms Among US},
  author = {Steven Clontz and Marshall Williams},
  journal= {arXiv preprint arXiv:2502.16764},
  year   = {2025}
}
R2 v1 2026-06-28T21:54:51.990Z