2 papers
math.LO2026
The Hausdorff measure due to Davies and Rogers and its cardinal invariants
Tatsuya Goto
Davies and Rogers constructed a Hausdorff measure satisfying the following property: every Borel subset of the space has measure either or . In this paper, we examine c…
math.LO2025
Goldstern's Principle with respect to Hausdorff Measures
Tatsuya Goto
This paper is a continuation of the paper [Got25] and studies Goldstern's principle, a principle about unions of continuum many null sets, further. The main result is that the Haus…