3 citations · 3 across the 3 of their papers we have counts for
4 papers · 2 filters
Strongly meager sets can be quite big
Tomek Bartoszynski, Andrzej Nowik, Tomasz Weiss
The paper contains two results pointing to the lack of symmetry between measure and category. Assume CH. There exists a strongly meager subset of the Cantor set that can be mapped…
Remarks on small sets of reals
Tomek Bartoszynski
We show that the Dual Borel Conjecture implies that and find some topological characterizations of perfectly meager and universally meager sets.
On a theorem of Banach and Kuratowski and K-Lusin sets
Tomek Bartoszynski, Lorenz Halbeisen
In a paper of 1929, Banach and Kuratowski proved, assuming the continuum hypothesis, a combinatorial theorem which implies that there is no non-vanishing sigma-additive finite meas…
Perfectly meager sets and universally null sets
Tomek Bartoszynski, Saharon Shelah
We will show that there is no ZFC example of a set distinguishing between universally null and perfectly meager sets.