2 citations · 2 across the 5 of their papers we have counts for
9 papers
Singularity of maps of several variables and a problem of Mycielski concerning prevalent homeomorphisms
Richárd Balka, Márton Elekes, Viktor Kiss +1
S. Banach pointed out that the graph of the generic (in the sense of Baire category) element of has length . J. Mycielski asked if the measure theoretic du…
Compact sets with large projections and nowhere dense sumset
Richárd Balka, Márton Elekes, Viktor Kiss +2
We answer a question of Banakh, Jabłońska and Jabłoński by showing that for there exists a compact set such that the projection of onto each…
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…
Characterizing the spectra of cardinalities of branches of Kurepa trees
Márk Poór, Saharon Shelah
We give a complete characterization of the sets of cardinals that in a suitable forcing extension can be the Kurepa spectrum, that is, the set of cardinalities of branches of Kurep…
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 …
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…
On the spectra of cardinalities of branches of Kurepa trees
Márk Poór
We are interested in the possible sets of cardinalities of branches of Kurepa trees in models of . In this paper we present a sufficient condition (for sets of cardin…
Small-large subgroups of locally compact Abelian Polish groups
Márk Poór
In [arXiv:1605.02261] Rosłanowski and Shelah asked whether every locally compact non-discrete group has a null but non-meager subgroup, and conversely whether it is consistent with…
Answer to a question of Rosłanowski and Shelah
Márk Poór
In [arXiv:1605.02261] Rosłanowski and Shelah asked whether every locally compact non-discrete group has a null but non-meager subgroup, and conversely, whether it is consistent wit…