A counterexample to a result concerning closure operators (Q5953293)
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scientific article; zbMATH DE number 1693768
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A counterexample to a result concerning closure operators |
scientific article; zbMATH DE number 1693768 |
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A counterexample to a result concerning closure operators (English)
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27 October 2002
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Summary: In 1960, José Morgado gave a necessary and sufficient condition on a poset \(P\) in order that the closure operators on \(P\), ordered pointwise, form a complete lattice. This result was based on the notion of relative quasi-infimum in posets. This note shows that Morgado's result is flawed.
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closure operators on a poset
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relative quasi-infimum
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