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

Arhangelskii's properties $\alpha_2$ and $\alpha_4$ 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.

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1. Verfasser: Clontz, Steven
Format: Artikel
Sprache:eng
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Zusammenfassung:Arhangelskii's properties $\alpha_2$ and $\alpha_4$ 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.
DOI:10.48550/arxiv.1911.02627