Concept information
Preferred term
well-ordered set
Definition
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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)
Broader concept
Synonym(s)
- well-ordering
- well-order relation
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-RTKRMZZL-Q
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