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Concept information

set theory > ordinal number > well-ordered set

Terme préférentiel

well-ordered set  

Définition

  • In mathematics, a well-order (or well-ordering or well-order relation) on a set S is a total ordering on S with the property that every non-empty subset of S has a least element in this ordering. The set S together with the ordering is then called a well-ordered set. In some academic articles and textbooks these terms are instead written as wellorder, wellordered, and wellordering or well order, well ordered, and well ordering.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Well-order)

Concept générique

Synonyme(s)

  • well-ordering
  • well-order relation

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-RTKRMZZL-Q

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RDF/XML TURTLE JSON-LD Date de création 21/08/2023, dernière modification le 18/10/2024