Blaschke-type theorem and separation of disjoint closed geodesic convex sets (Q662859)
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scientific article; zbMATH DE number 6006024
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blaschke-type theorem and separation of disjoint closed geodesic convex sets |
scientific article; zbMATH DE number 6006024 |
Statements
Blaschke-type theorem and separation of disjoint closed geodesic convex sets (English)
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13 February 2012
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The authors provide extensions of some known properties of convex sets to geodesic convex sets defined with respect to some polygon of a plane. In particular, they obtain extensions of Blaschke's theorem and the strong separation theorem by geodesic paths for such geodesic convex sets. Some additional properties of geodesic triangles are also given.
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geodesic convex sets
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extension of Blaschke's theorem
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extension of the separation theorem
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