English

Arhangelskii's $\alpha$-principles and selection games

General Topology 2019-11-11 v1

Abstract

Arhangelskii's properties α2\alpha_2 and α4\alpha_4 defined for convergent sequences may be characterized in terms of Scheeper's selection principles. We generalize these results to hold for more general collections and consider these results in terms of selection games.

Cite

@article{arxiv.1911.02627,
  title  = {Arhangelskii's $\alpha$-principles and selection games},
  author = {Steven Clontz},
  journal= {arXiv preprint arXiv:1911.02627},
  year   = {2019}
}
R2 v1 2026-06-23T12:07:55.116Z