Relating games of Menger, countable fan tightness, and selective separability
General Topology
2016-10-18 v1
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.
Keywords
Cite
@article{arxiv.1610.04800,
title = {Relating games of Menger, countable fan tightness, and selective separability},
author = {Steven Clontz},
journal= {arXiv preprint arXiv:1610.04800},
year = {2016}
}