posets การใช้

• Such posets which are dcpos are much used in domain theory.
• These are exactly the free posets on an underlying set.
• Classes of posets with appropriate functions as discussed above form interesting categories.
• The posets with this property are the complete lattices.
• Left-regular bands thus show up naturally in the study of posets.
• Posets are an object of study in the mathematical discipline of order theory.
• We already mentioned continuous posets and algebraic posets.
• We already mentioned continuous posets and algebraic posets.
• Many other important properties of posets exist.
• There is a similar concept for posets.
• These posets are lattices, and can be constructed by a variation of the reflection construction.
• In the case of algebras that are not posets, one uses different substructures instead of filters.
• These are posets in which every upward-directed set is required to have a least upper bound.
• When specialised to posets, it becomes a relatively familiar type of question on'constrained optimization '.
• This is easily seen by considering posets with a discrete order, where every element only relates to itself.
• Due to the ready intuition this example can provide, probabilistic language is sometimes used with other forcing posets.
• For this reason, posets with certain completeness properties can often be described as algebraic structures of a certain kind.
• Posets that have a bottom are sometimes called pointed, while posets with a top are called unital or topped.
• Posets that have a bottom are sometimes called pointed, while posets with a top are called unital or topped.
• These developments led eventually to the theory of abstract polytopes as partially ordered sets, or posets, of such elements.