The countable lifting property for Riesz space surjections (Q904160)
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scientific article; zbMATH DE number 6529296
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The countable lifting property for Riesz space surjections |
scientific article; zbMATH DE number 6529296 |
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The countable lifting property for Riesz space surjections (English)
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12 January 2016
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A surjective mapping \(\varphi: A\to B\) of Riesz spaces has the CLP (countable lifting property) if, for any countable disjoint sequence \(b_n\in B\), there exists a countable disjoint sequence \(a_n\in A\) such that \(\varphi(a_n)= b_n\) for each \(n\). In the paper, some sufficient conditions are given for CLP. They are formulated in the case that \(A\) and \(B\) are spaces of continuous functions.
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Riesz space
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lifting disjoint sets
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Archimedean
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weakly laterally \(\sigma\)-complete
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disjoint \(\sigma\)-property
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0.87138146
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0.8582761
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