English

Sequentially compact separable spaces

General Topology 2025-07-22 v1 Logic

Abstract

We consider the following variation of the Scarborough-Stone problem: Is XκX^\kappa always countably compact whenever XX is separable and sequentially compact?

Keywords

Cite

@article{arxiv.2507.14973,
  title  = {Sequentially compact separable spaces},
  author = {Cesar Corral and Alan Dow and Paul Szeptycki},
  journal= {arXiv preprint arXiv:2507.14973},
  year   = {2025}
}