Representing orders by moving figures in space (Q686307)
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scientific article; zbMATH DE number 428143
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representing orders by moving figures in space |
scientific article; zbMATH DE number 428143 |
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Representing orders by moving figures in space (English)
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14 October 1993
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The main results in the paper are (A) Every ordered set is convex representable in \(R^ 3\) and one-directional convex representable in \(R^ 4\), (B) Not every ordered set has a one-directional representation in \(R^ 3\), and (C) Each one-directional representation in \(R^ 3\) obtained by a subtree lifting is a truncated, dismantable lattice. Some open problems occuring by these developments are also formulated.
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convex representation
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