2 citations · 3 across the 6 of their papers we have counts for
7 papers
Sneaky Angel and Devil Game
Cameron Bernstein, Logan Crone, Alexandria Kwon +1
In this paper we introduce an imperfect information variant of the Angel and Devil game, which was first introduced in 1982 by Berlekamp, Conway, and Guy. The Devil player has a wi…
The no- McMullen game and the perfect set property
Logan Crone, Lior Fishman, Stephen Jackson
Given a target set and a real number , McMullen introduced the notion of being an absolutely -winning set. This involves a two player g…
Hausdorff Dimension Regularity Properties and Games
Logan Crone, Lior Fishman, Stephen Jackson
The Hausdorff -dimension game was introduced by Das, Fishman, Simmons and {Urba{ń}ski} and shown to characterize sets in having Hausdorff dimension . We i…
Equivalence Relations and Determinacy
Logan Crone, Lior Fishman, Stephen Jackson
We introduce the notion of -determinacy for a pointclass and an equivalence relation on a Polish space . A case of particular interest is the case when is…
The Measure Game
Logan Crone, Lior Fishman, Stephen Jackson +2
We study a game first introduced by Martin (actually we use a slight variation of this game) which plays a role for measure analogous to the Banach-Mazur game for category. We firs…
Equivalence of the Rothberger and -Rothberger Games for Hausdorff Spaces
Logan Crone, Lior Fishman, Nathaniel Hiers +1
We prove that in any Hausdorff space, the Rothberger game is equivalent to the -Rothberger game, i.e. the game in which player II chooses open sets in each move. This result…