55 citations · 91 across the 32 of their papers we have counts for
33 papers
A note on small sets of reals
Tomek Bartoszynski, Saharon Shelah
We construct a combinatorially large measure zero subset of the Cantor set.
There may be no Hausdorff ultrafilters
Tomek Bartoszynski, Saharon Shelah
An ultrafilter U is Hausdorff if for any two functions f,g mapping N to N, f(U)=g(U) iff f(n)=g(n) for n in some X in U. We will show that it is consistent that there are no Hausdo…
Strongly meager sets of size continuum
Tomek Bartoszynski, Saharon Shelah
We construct several models where there are no strongly meager sets of size continuum. In particular, there are no such sets in the Laver's model.
Hechler's theorem for the meager ideal
Tomek Bartoszynski, Masaru Kada
We prove the following theorem: For a partially ordered set Q such that every countable subset has a strict upper bound, there is a forcing notion satisfying ccc such that, in the…
Hereditary topological diagonalizations and the Menger-Hurewicz Conjectures
Tomek Bartoszynski, Boaz Tsaban
We consider the question, which of the major classes defined by topological diagonalizations of open or Borel covers is hereditary. Many of the classes in the open case are not her…
Additivity properties of topological diagonalizations
Tomek Bartoszynski, Saharon Shelah, Boaz Tsaban
We answer a question of Just, Miller, Scheepers and Szeptycki whether certain diagonalization properties for sequences of open covers are provably closed under taking finite or cou…