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math.GN2019
Arhangelskii's -principles and selection games
Steven Clontz
Arhangelskii's properties and defined for convergent sequences may be characterized in terms of Scheeper's selection principles. We generalize these results to hold for…
math.GN2019
On Ramsey properties, function spaces, and topological games
Steven Clontz, Alexander V. Osipov
An open question of Gruenhage asks if all strategically selectively separable spaces are Markov selectively separable, a game-theoretic statement known to hold for countable spaces…