Outer measures and associated lattice properties (Q689010)
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scientific article; zbMATH DE number 438921
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Outer measures and associated lattice properties |
scientific article; zbMATH DE number 438921 |
Statements
Outer measures and associated lattice properties (English)
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3 January 1994
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Summary: Zero-one measure characterizations of lattice properties such as normality are extended to more general measures. For a given measure, we consider two associated ``outer'' measures and attempt to obtain the ``outer''-measurable sets. We also seek necessary and sufficient conditions for the measure and outer measures to be equal on the lattice or its complement.
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regular measure
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lattice separation
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semiseparation
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normal lattice
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countably paracompact lattice
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outer measure
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support
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zero-one measure
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