Relationships between various outer measures induced by lattice measures (Q1280277)
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scientific article; zbMATH DE number 1261184
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relationships between various outer measures induced by lattice measures |
scientific article; zbMATH DE number 1261184 |
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Relationships between various outer measures induced by lattice measures (English)
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14 March 1999
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The theory of finitely additive set functions, defined on an algebra \(\mathcal A\) of sets, has been extensively studied in the literature. In the case the algebra \(\mathcal A\) is generated by a lattice \(\mathcal L\) of sets, the author is able to construct seven outer measures related to a given measure defined on \(\mathcal A\). An analysis of the relations among the defined outer measures is given. The construction of relevant examples in which the seven measures do not coincide is left to the reader.
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lattice space
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regularity and \(\sigma\)-smoothness of a measure
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measure domination
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measure restriction
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outer measures induced by a measure
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0.9494145
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0.9475246
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0.9423548
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0.9369316
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0.9120805
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0.89085937
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