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Directed-complete partial order

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Summary

A poset in which every directed subset has a supremum.

Record metadata

Carrier(s)

Axioms / constraints

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Partial order / posetDirected-complete partial order

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Require every directed subset to have a supremum.

How to interpret this relation type

Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Directed-complete partial orderPointed CPO

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Select dcpos having a least element; it is unique.

How to interpret this relation type

Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.

Relation sources