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A pseudo ordered set (X,≤) is a set X with a binary relation ≤ that is reflexive and antisymmetric. We associate to a pseudo ordered set X, a partially ordered… Click to show full abstract
A pseudo ordered set (X,≤) is a set X with a binary relation ≤ that is reflexive and antisymmetric. We associate to a pseudo ordered set X, a partially ordered set Γ(X) called the covering poset. Taking any completion (C,f) of the covering poset Γ(X), and a special equivalence relation 𝜃 on this completion, yields a completion C/𝜃 of the pseudo ordered set X. The case when (C,f) is the MacNeille completion of Γ(X) gives the pseudo MacNeille completion of X.
Keywords:
completions pseudo;
ordered sets;
completion;
pseudo ordered;
ordered set
Journal Title: Order
Year Published: 2021
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Journal Title: Order
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!