Helly-type theorems for infinite and for finite intersections of sets starshaped via staircase paths (Q945966)
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scientific article; zbMATH DE number 5345504
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Helly-type theorems for infinite and for finite intersections of sets starshaped via staircase paths |
scientific article; zbMATH DE number 5345504 |
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Helly-type theorems for infinite and for finite intersections of sets starshaped via staircase paths (English)
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22 September 2008
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The author proves two Helly-type Theorems for intersections of starshaped via staircase paths sets in the plane. The first theorem deals with infinite intersections, the second one treats the finite case. Both results are best possible. Consequences and examples are provided.
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Helly-type theorems
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staircase convex
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staircase kernel
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staircase path
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staircase starshaped
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