The Hausdorff metric and measurable selections (Q1071886)
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scientific article; zbMATH DE number 3939633
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Hausdorff metric and measurable selections |
scientific article; zbMATH DE number 3939633 |
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The Hausdorff metric and measurable selections (English)
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1985
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We contruct measurable selections for closed set-valued maps into arbitrary complete metric spaces. We do not need to make any separability assumptions. We view the set-valued maps as point-valued maps into the hyperspace and our measurability assumptions are the usual kinds of measurability of point-valued maps in this setting. We also discuss the relationship of these measurability conditions to the ones usually considered in the theory of measurable selections.
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Radon measure space
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Hausdorff metric
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closed set-valued map
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measurable selections
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complete metric spaces
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