Completeness (order theory)

id: completeness-order-theory-260-717783
title: Completeness (order theory)
text: In the mathematical area of order theory, completeness properties assert the existence of certain infima or suprema of a given partially ordered set (poset). The most familiar example is the completeness of the real numbers. A special use of the term refers to complete partial orders or complete lattices. However, many other interesting notions of completeness exist. The motivation for considering completeness properties derives from the great importance of suprema and infima to the theory of pa
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original url: https://en.wikipedia.org/wiki/Completeness_(order_theory)
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date modified: 2023-08-18T01:21:49Z
main entity: {"identifier":"Q5156540","url":"https://www.wikidata.org/entity/Q5156540"}
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