On directed sets and their suprema (Q882817)
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scientific article; zbMATH DE number 5156939
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On directed sets and their suprema |
scientific article; zbMATH DE number 5156939 |
Statements
On directed sets and their suprema (English)
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24 May 2007
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The authors study partially ordered real linear topological vector spaces in which directed sets admit a supremum in their closure. They present various results which show that this property is related to normality of the ordering cone as well as to Scott continuity of functionals belonging to the nonnegative polar of the ordering cone.
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directed sets
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Scott topology
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normal cones
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Daniell property
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0.8879139
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