Lindelöf scattered $W$-spaces are $σ$-compact

Mikołaj Krupski

Lindelöf scattered $W$-spaces are $σ$-compact

General Topology 2026-07-07 v1

Authors: Mikołaj Krupski

Abstract

We show that every Lindel\"of scattered $W$ -space is $\sigma$ -compact. This result generalizes a theorem proved recently by Avil\'es and the author in [Topology Appl. 363 (2025), Paper No. 109234] and answers a question posed by Tkachuk.

Cite

@article{arxiv.2607.06180,
  title  = {Lindelöf scattered $W$-spaces are $σ$-compact},
  author = {Mikołaj Krupski},
  journal= {arXiv preprint arXiv:2607.06180},
  year   = {2026}
}