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A  charge space  ( X , ,  µ ) is a generalisation of a measure space, consisting of a sample space  X , a field of subsets  and a finitely additive measure  µ , also known as a  charge . Properties a real-valued function on  X  may possess include  T  1 -measurability and integrability. However, these properties are less well studied than their measure-theoretic counterparts.

Properties of Functions on a Bounded Charge Space