3 citations · 4 across the 4 of their papers we have counts for
5 papers
A Borel linear subspace of that cannot be covered by countably many closed Haar-meager sets
Taras Banakh, Eliza Jabłońska
We prove that the countable product of lines contains a Borel linear subspace that cannot be covered by countably many closed Haar-meager sets. This example is ap…
The continuity of additive and convex functions, which are upper bounded on non-flat continua in
Taras Banakh, Eliza Jabłońska, Wojciech Jabłoński
We prove that for a continuum the sum of copies of has non-empty interior in if and only if is not flat in the sense that…
Haar- sets: looking at small sets in Polish groups through compact glasses
Taras Banakh, Szymon Głąb, Eliza Jabłońska +1
Generalizing Christensen's notion of a Haar-null set and Darji's notion of a Haar-meager set, we introduce and study the notion of a Haar- set in a Polish group. Here $…
Remarks on Haar meager sets and Haar null sets in spaces of sequences
Eliza Jabłońska
In the paper we will show how to construct a Haar meager set (consequently meager) which is not Haar null, and conversely, a meager Haar null set which is not Haar meager in spaces…
Some analogies between Haar meager sets and Haar null sets in abelian Polish groups
Eliza Jabłońska
In the paper we would like to pay attention to some analogies between Haar meager sets and Haar null sets. Among others, we will show that $0\in \inn (A-A)$ for each Borel set ,…