Lexicographical separation in \({\mathbb{R}}^ n\) (Q1819730)
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scientific article; zbMATH DE number 3994421
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lexicographical separation in \({\mathbb{R}}^ n\) |
scientific article; zbMATH DE number 3994421 |
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Lexicographical separation in \({\mathbb{R}}^ n\) (English)
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1987
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In terms of lexicographical order of \({\mathbb{R}}^ n\) the authors give a new version of separation theorem for two sets with disjoint convex hulls by complementary hemi-spaces (hemi-space is a convex set with convex complement). For lexicographic separation of convex sets see also C. E. Moore (1973). Structure of hemi-spaces in linear space was investigated by G. Coquet, J.-C. Dupin (1973) and by M. Lassak in \({\mathbb{R}}^ n\) (1984).
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lexicographic separation of convex sets
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