Erdős-Szekeres theorems for families of convex sets (Q2417585)
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| Language | Label | Description | Also known as |
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| English | Erdős-Szekeres theorems for families of convex sets |
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Erdős-Szekeres theorems for families of convex sets (English)
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12 June 2019
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The paper reviews proven and conjectured variants of the Erdős-Szekeres theorem of discrete geometry. In most of the variants considered, the role of the points is played by convex compact sets or by generalized configurations. For the entire collection see [Zbl 1411.52002].
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Erdős-Szekeres theorem
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convex position
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general position
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generalized configuration
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systems of $x$-monotone curves
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