arXiv subjects

Tomek Bartoszyński

Publications and source records attributed to Tomek Bartoszyński.

3 recordsLinked to original sources

arXiv1997

After all, there are some inequalities which are provable in ZFC

We address ZFC inequalities between some cardinal invariants of the continuum, which turned to be true in spite of strong expectations given by [RoSh:470].

math.LO↗

arXiv1994

Adding one random real

We study the cardinal invariants of measure and category after adding one random real. In particular, we show that the number of measure zero subsets of the plane which are necessary to cover graphs of all continuous functions maybe large while the covering for measure is small.

math.LO↗

arXiv1993

All meager filters may be null

We show that it is consistent with ZFC that all filters which have the Baire property are Lebesgue measurable. We also show that the existence of a Sierpinski set implies that there exists a nonmeasurable filter which has the Baire property.

math.LO↗