Examples of $\varepsilon$-exhaustive pathological submeasures

Volume 181 / 2004

Ilijas Farah Fundamenta Mathematicae 181 (2004), 257-272 MSC: 28A60, 03E05, 05A17. DOI: 10.4064/fm181-3-4


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 ${\Bbb N}$.


  • Ilijas FarahDepartment of Mathematics and Statistics
    York University
    4700 Keele Street
    Toronto, Ontario
    Canada, M3J 1P3

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