Haar-positive closed subsets of Haar-positive analytic sets
Logic
2020-03-17 v1 Group Theory
Abstract
We show that every non-Haar-null analytic subset of contains a non-Haar-null closed subset. Moreover, we also prove that the codes of Haar-null analytic subsets, and, consequently, closed Haar-null sets in the Effros Borel space of form a set.
Cite
@article{arxiv.2003.06854,
title = {Haar-positive closed subsets of Haar-positive analytic sets},
author = {Márton Elekes and Márk Poór and Zoltán Vidnyánszky},
journal= {arXiv preprint arXiv:2003.06854},
year = {2020}
}