English

S-spaces and large continuum

Logic 2022-06-23 v1 General Topology

Abstract

We prove that it is consistent with large values of the continuum that there are no S-spaces. We also show that we can also have that compact separable spaces of countable tightness have cardinality at most the continuum.

Keywords

Cite

@article{arxiv.2206.11122,
  title  = {S-spaces and large continuum},
  author = {Alan Dow and Saharon Shelah},
  journal= {arXiv preprint arXiv:2206.11122},
  year   = {2022}
}
R2 v1 2026-06-24T12:00:15.902Z