Order, lattices, ordered algebraic structures Chains, antichains, dimension Concept
Order dimension
Summary
The order dimension of a partially ordered set is the least number of linear extensions whose intersection is the given order. It measures how far the order is from being total: total orders have dimension . Equivalently, it is the least such that the poset embeds in a product of chains with the product order.
Further reading
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| Tag | JC4J24MF93 |
|---|---|
| URI | m2://JC4J24MF93 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 06A07 |
| Same as |
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