What are signed contents and measures?
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The paper develops the notion of signed contents and measures on the basis of a new definition. It forms a common roof for some well - known partial notions which appeared to be incompatible. The paper also redefines the notion of singular pairs of contents and measures, to the effect that the two notions are connected via an extended Jordan decomposition theorem. The decisive idea is a new difference formation for contents and measures.
KeywordsSigned contents and measures singular pairs of contents and measures lattice singular difference formation for contents and measures inner regular Godement-Bourbaki theorem
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