Lior Fishman

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20082021

most citedEquivalence of the Rothberger and

2

-Rothberger Games for Hausdorff Spaces

2 citations · 3 across the 5 of their papers we have counts for

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math.LO2021

The no- $β$ McMullen game and the perfect set property

Logan Crone, Lior Fishman, Stephen Jackson

Given a target set $A \subseteq R^{d}$ and a real number $β \in (0, 1)$ , McMullen introduced the notion of $A$ being an absolutely $β$ -winning set. This involves a two player g…

math.LO2020

Hausdorff Dimension Regularity Properties and Games

Logan Crone, Lior Fishman, Stephen Jackson

The Hausdorff $δ$ -dimension game was introduced by Das, Fishman, Simmons and {Urba{ń}ski} and shown to characterize sets in $R^{d}$ having Hausdorff dimension $\leq δ$ . We i…

math.LO2020

Equivalence Relations and Determinacy

Logan Crone, Lior Fishman, Stephen Jackson

We introduce the notion of $(Γ, E)$ -determinacy for $Γ$ a pointclass and $E$ an equivalence relation on a Polish space $X$ . A case of particular interest is the case when $E = E_{G}$ is…

math.LO2019

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…

math.LO2017

Determinacy of Schmidt's Game and Other Intersection Games

Logan Crone, Lior Fishman, Stephen Jackson

Schmidt's game, and other similar intersection games have played an important role in recent years in applications to number theory, dynamics, and Diophantine approximation theory.…

The no-β McMullen game and the perfect set property

Hausdorff Dimension Regularity Properties and Games

Equivalence Relations and Determinacy

The Measure Game

Determinacy of Schmidt's Game and Other Intersection Games

The no- $β$ McMullen game and the perfect set property