Sets with large intersection properties in metric spaces
Metric Geometry
2021-06-10 v2 Classical Analysis and ODEs
Abstract
In this work we reproduce the characterization of -sets from the euclidean setting [J. London Math. Soc. 49:267-280,1994] to more general metric spaces. These sets have Hausdorff dimension at least and are closed by countable intersections, which is particularly useful to estimate the dimension of the so called sets of -approximable points (that typically appear in Diophantine approximations).
Cite
@article{arxiv.2010.12003,
title = {Sets with large intersection properties in metric spaces},
author = {Felipe Negreira and Emiliano Sequeira},
journal= {arXiv preprint arXiv:2010.12003},
year = {2021}
}