3 papers
math.GN2019
Selection Games on Continuous Functions
Christopher Caruvana, Jared Holshouser
In this paper we study the selection principle of closed discrete selection, first researched by Tkachuk in [13] and strengthened by Clontz, Holshouser in [3], in set-open topologi…
math.GN2018
Closed Discrete Selection in the Compact Open Topology
Christopher Caruvana, Jared Holshouser
In 2017, Tkachuk isolated the closed discrete selection property while working on problems related to function spaces [15]. In this paper we will study the closed discrete selectio…
math.GN2018
Limited Information Strategies and Discrete Selectivity
Steven Clontz, Jared Holshouser
We relate the property of discrete selectivity and its corresponding game, both recently introduced by V.V. Tkachuck, to a variety of selection principles and point picking games.…