English

Some results on the $\pi$-weight of countable Fr\'echet-Urysohn spaces

Logic 2025-12-11 v1 General Topology

Abstract

The π\pi-weight spectrum for countable regular Fr\'echet-Urysohn spaces is the set of uncountable cardinals that are equal to the π\pi-weight for some such space. We determine this π\pi-weight spectrum in the standard Miller rational perfect set model and in the Random real model.

Keywords

Cite

@article{arxiv.2512.09614,
  title  = {Some results on the $\pi$-weight of countable Fr\'echet-Urysohn spaces},
  author = {Alan Dow},
  journal= {arXiv preprint arXiv:2512.09614},
  year   = {2025}
}