Convexity without convex combinations (Q265608)
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scientific article; zbMATH DE number 6562519
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convexity without convex combinations |
scientific article; zbMATH DE number 6562519 |
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Convexity without convex combinations (English)
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4 April 2016
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The paper studies the convex geometry of Beckenbach structures into the context of an axiomatic setting, using some of the axioms of the geometry proposed by Hilbert (the axioms of incidence, of betweenness and the axiom of half-plane). Sandwich results are proved for functions which are convex with respect to Beckenbach families.
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hull operators
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generalized convexity
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Hilbert axioms
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convex sets and functions
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separation theorems
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Beckenbach families
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