The compact Δ1-completions of a poset include its MacNeille completion and all its join- and all its meet-completions. These completions also include the ...
The parametric description of Δ1-completions is used to compare the canonical extension of the given poset, a completion that encodes the topological dual ...
A Δ1-completion of a poset is a completion for which, simultaneously, each element is obtainable as a join of meets of elements of the original poset and as a ...
A join-completion of a poset is a completion for which each element is obtainable as a supremum, or join, of elements from the original poset.
Δ1-completions of a Poset ; Fulltext: 91470.pdf ; Size: 264.4Kb ; Format: PDF ; Description: author's version.
Jul 27, 2011 · Abstract A join-completion of a poset is a completion for which each element is obtainable as a supremum, or join, of elements from the ...
In this paper, the Δ1 -completions of an L-ordered set are introduced and characterized, which generalizes the Δ1 -completions of a crisp partial ordered set.
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... completions are those completions of P, every element of which is obtainable as a join of meets of elements from P, and so on. ... Δ1-completions of a Poset.
The MacNeille completion involves adding in a single element below all other elements in P(Qn), and also an element above all other elements in P(Qn). Let us ...
In this paper, the Δ1 -completions of an L-ordered set are introduced and characterized, which generalizes the Δ1 -completions of a crisp partial ordered set.