2 citations · 4 across the 6 of their papers we have counts for
8 papers · 1 filter
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…
The Destruction of the Axiom of Determinacy by Forcings on when is Regular
William Chan, Stephen Jackson
proves that for all nontrivial forcings on a wellorderable set of cardinality less than , . $…
Cardinality of Wellordered Disjoint Unions of Quotients of Smooth Equivalence Relations
William Chan, Stephen Jackson
Assume . Let denote the relation of being in bijection. Let and be a se…