A characterization of completeness for trellises (Q1866849)
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scientific article; zbMATH DE number 1899969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of completeness for trellises |
scientific article; zbMATH DE number 1899969 |
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A characterization of completeness for trellises (English)
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23 April 2003
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A trellis is defined as a pseudo-ordered set any two of whose elements have a GLB and LUB (a pseudo-order is a reflexive and antisymmetric binary relation). Main result: A trellis \(A\) is complete (i.e. every subset of \(A\) has a GLB and a LUB) if and only if every ascending well-ordered \(p\)-chain in \(A\) has a join.
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pseudo-order
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trellis
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complete trellis
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