A decomposition theorem for maxitive measures
General Topology
2013-01-08 v1 Optimization and Control
Abstract
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.
Keywords
Cite
@article{arxiv.0912.5178,
title = {A decomposition theorem for maxitive measures},
author = {Paul Poncet},
journal= {arXiv preprint arXiv:0912.5178},
year = {2013}
}
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11 pages