English

Q-Sets, \Delta-Sets, and L-Spaces

General Topology 2025-05-22 v3

Abstract

The question whether there is a Lindelof Q-set space or Lindelof Δ\Delta-set space is considered. We show that J. Moore's ZFC LL-space is not a Q-set space in ZFC and, assuming all Aronszajn trees are special, it is not a Δ\Delta-set space.

Cite

@article{arxiv.2501.08298,
  title  = {Q-Sets, \Delta-Sets, and L-Spaces},
  author = {Pourya Memarpanahi and Paul Szeptycki},
  journal= {arXiv preprint arXiv:2501.08298},
  year   = {2025}
}
R2 v1 2026-06-28T21:06:14.543Z