Cantor-winning sets and their applications
(2017)
Journal Article
Badziahin, D., & Harrap, S. (2017). Cantor-winning sets and their applications. Advances in Mathematics, 318, 627-677. https://doi.org/10.1016/j.aim.2017.07.027
We introduce and develop a class of Cantor-winning sets that share the same amenable properties as the classical winning sets associated to Schmidt’s (α, β)-game: these include maximal Hausdorff dimension, invariance under countable intersections wit... Read More about Cantor-winning sets and their applications.