Null-continuity, dense pack property and pseudometric generating property of non-additive measures

抄録

The concept of null-continuity and dense pack property was proposed and investigated by Uchino et al. This paper gives the result of further investigation of these properties and pseudometric generating property, which is one of the most important properties of non-additive measures. The authors present sufficient conditions for these properties and the implication relationship concerning pseudometric generating property.