Examples of $\varepsilon$-exhaustive pathological submeasures
Tom 181 / 2004
Fundamenta Mathematicae 181 (2004), 257-272
MSC: 28A60, 03E05, 05A17.
DOI: 10.4064/fm181-3-4
Streszczenie
For any given $\varepsilon>0$ we construct an $\varepsilon$-exhaustive normalized pathological submeasure. To this end we use potentially exhaustive submeasures and barriers of finite subsets of ${\Bbb N}$.