2 citations · 4 across the 7 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.DS2020
A non-Borel special alpha-limit set in the square
Steve Jackson, Bill Mance, Samuel Roth
We consider the complexity of special -limit sets, a kind of backward limit set for non-invertible dynamical systems. We show that these sets are always analytic, but not necess…
math.LO2020
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…
math.LO2020
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…