
arXiv: 2010.09491
Let X X be a compact metric space and let v v be a sub-additive capacity defined on X X . We show that Lusin’s theorem with respect to v v holds if and only if v v is continuous from above.
Fuzzy measure theory, capacity, Probability (math.PR), regular, compact space, FOS: Mathematics, subadditive, Set-valued set functions and measures; integration of set-valued functions; measurable selections, Contents, measures, outer measures, capacities, Mathematics - Probability
Fuzzy measure theory, capacity, Probability (math.PR), regular, compact space, FOS: Mathematics, subadditive, Set-valued set functions and measures; integration of set-valued functions; measurable selections, Contents, measures, outer measures, capacities, Mathematics - Probability
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