3 papers
math.LO2020
Haar-positive closed subsets of Haar-positive analytic sets
Márton Elekes, Márk Poór, Zoltán Vidnyánszky
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…
math.LO2019
Cardinal invariants of Haar null and Haar meager sets
Márton Elekes, Márk Poór
A subset of a Polish group is \emph{Haar null} if there exists a Borel probability measure and a Borel set containing such that for every …
math.LO2018
A Haar meager set that is not strongly Haar meager
Márton Elekes, Donát Nagy, Márk Poór +1
Following Darji, we say that a Borel subset of an abelian Polish group is Haar meager if there is a compact metric space and a continuous function such th…