A topological approach to multivalued Ascoli theory (Q1192091)
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scientific article; zbMATH DE number 60496
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A topological approach to multivalued Ascoli theory |
scientific article; zbMATH DE number 60496 |
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A topological approach to multivalued Ascoli theory (English)
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27 September 1992
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The author proves that every multivalued Ascoli theorem can be directly derived from the corresponding classical result. He also proves equivalent conditions for the even continuity of a set of multifunctions with respect to the lower, resp. upper semi-finite topology and the Vietoris-topology. As a further application he presents an improved sufficient condition for the local compactness of a family of multifunctions.
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multivalued Ascoli theorem
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even continuity of a set of multifunctions
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local compactness
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