Measure-theoretic characterizations of hereditarily-normal spaces (Q1205598)
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scientific article; zbMATH DE number 147567
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Measure-theoretic characterizations of hereditarily-normal spaces |
scientific article; zbMATH DE number 147567 |
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Measure-theoretic characterizations of hereditarily-normal spaces (English)
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1 April 1993
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The first characterization: every pre-measure is a measure (of course only two-valued measures are considered on the algebra generated by closed sets). The second characterization: the set of measures greater than a given measure form a chain. Also the lattice of open sets is examined and a few conclusions about extremally disconnected spaces are derived.
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extremally disconnected spaces
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