The starshapedness number and a Krasnosel'skij-type theorem in a convexity space (Q1098102)
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scientific article; zbMATH DE number 4036601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The starshapedness number and a Krasnosel'skij-type theorem in a convexity space |
scientific article; zbMATH DE number 4036601 |
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The starshapedness number and a Krasnosel'skij-type theorem in a convexity space (English)
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1987
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In the context of a convexity space an analogue of Krasnoselskij's theorem on compact star sets in \({\mathbb{R}}^ n\) is given. The concept of starshapedness number is introduced and its relations with Carathéodory, Helly, Radon and exchange numbers are investigated.
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convexity space
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Krasnoselskij's theorem
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starshapedness number
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