2 citations · 4 across the 7 of their papers we have counts for
7 papers
Countably perfectly meager and countably perfectly null sets
Tomasz Weiss, Piotr Zakrzewski
We study a strengthening of the notion of a universally meager set and its dual counterpart that strengthens the notion of a universally null set. We say that a subset of a per…
Null sets and combinatorial covering properties
Piotr Szewczak, Tomasz Weiss
A subset of the Cantor cube is null-additive if its algebraic sum with any null set is null. We construct a set of cardinality continuum such that: all continuous images of the set…
Special subsets of the generalized Cantor space and generalized Baire space
Michał Korch, Tomasz Weiss
In this paper, we are interested in parallels to the classical notions of special subsets in defined in the generalized Cantor and Baire spaces ( and ). We consider…
On the class of perfectly null sets and its transitive version
Michał Korch, Tomasz Weiss
We introduce two new classes of special subsets of the real line: the class of perfectly null sets and the class of sets which are perfectly null in the transitive sense. These cla…
Products of special sets of real numbers
Boaz Tsaban, Tomasz Weiss
We describe a simple machinery which translates results on algebraic sums of sets of reals into the corresponding results on their cartesian product. Some consequences are: 1. The…
Topological diagonalizations and Hausdorff dimension
Tomasz Weiss, Boaz Tsaban
The Hausdorff dimension of a product XxY can be strictly greater than that of Y, even when the Hausdorff dimension of X is zero. But when X is countable, the Hausdorff dimensions o…