Relating games of Menger, countable fan tightness, and selective separability

Steven Clontz

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arXiv · 1610.04800

Relating games of Menger, countable fan tightness, and selective separability

Steven Clontz

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Abstract

By adapting techniques of Arhangel'skii, Barman, and Dow, we may equate the existence of perfect-information, Markov, and tactical strategies between two interesting selection games. These results shed some light on Gruenhage's question asking whether all strategically selectively separable spaces are Markov selectively separable.

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Steven Clontz. 2016-10-15. Relating games of Menger, countable fan tightness, and selective separability. https://arxiv.org/abs/1610.04800

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