2 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
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.…
Variations on Dirichlet's theorem
Lior Fishman, David Simmons
We give a necessary and sufficient condition for the following property of an integer and a pair : There exist and suc…
Schmidt's game, Badly Approximable Linear Forms and Fractals
Lior Fishman
We prove that for every two natural numbers M and N, if Tau is a Borel, finite, absolutely friendly measure on a compact set K of R^MN, then the intersection of K and BA(M,N) is a…