Perpendicular orders (Q1343793)
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scientific article; zbMATH DE number 719468
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perpendicular orders |
scientific article; zbMATH DE number 719468 |
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Perpendicular orders (English)
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1995
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Two partial orders on the same set are said to be perpendicular if they have no common order-preserving maps except the identity and constants. The authors show an order is perpendicular to any complementary order if it has no autonomous subset; complementary orders exist when the dimension is at most two. They also construct large classes of bipartite perpendicular orders.
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bipartite orders
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complementary orders
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perpendicular orders
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