A decomposition theorem for maxitive measures

Details A decomposition theorem for maxitive measures A decomposition theorem for maxitive measures

2009-12-28

arxiv.org/abs/0912.5178v1

Mathematics

General Topology

11 pages

Scientific paper

A maxitive measure is the analogue of a finitely additive measure or charge, in which the usual addition is replaced by the supremum operation. Contrarily to charges, maxitive measures often have a density. We show that maxitive measures can be decomposed as the supremum of a maxitive measure with density, and a residual maxitive measure that is null on compact sets under specific conditions.

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