On lifting quasi-Radon measures (Q2773628)
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scientific article; zbMATH DE number 1710256
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On lifting quasi-Radon measures |
scientific article; zbMATH DE number 1710256 |
Statements
24 February 2002
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transfer principle
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extension of an additive set function
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extension of a measure
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measure in a Boolean algebra
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lattice valued Borel measure
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majorizable lifting
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quasi-Radon measures
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On lifting quasi-Radon measures (English)
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For an open continuous mapping \(\pi\:X\to\Pi\), the author proves the existence of a majorizable lifting of the space of quasi-Radon measures defined on the Borel \(\sigma\)-algebra of a locally compact paracompact space \(\Pi\) to the space of quasi-Radon measures defined on the Borel \(\sigma\)-algebra of a locally compact space \(X\). This result implies a theorem on extension of majorizable mappings defined on a closed subgroup of a locally compact Abelian group.
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0.7449867725372314
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