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- Prewellordering abstract "In set theory, a prewellordering is a binary relation that is transitive, total, and wellfounded (more precisely, the relation is wellfounded). In other words, if is a prewellordering on a set , and if we define bythen is an equivalence relation on , and induces a wellordering on the quotient . The order-type of this induced wellordering is an ordinal, referred to as the length of the prewellordering.A norm on a set is a map from into the ordinals. Every norm induces a prewellordering; if is a norm, the associated prewellordering is given byConversely, every prewellordering is induced by a unique regular norm (a norm is regular if, for any and any , there is such that ).".
- Prewellordering wikiPageID "2137523".
- Prewellordering wikiPageRevisionID "488790287".
- Prewellordering hasPhotoCollection Prewellordering.
- Prewellordering subject Category:Descriptive_set_theory.
- Prewellordering subject Category:Mathematical_relations.
- Prewellordering subject Category:Order_theory.
- Prewellordering subject Category:Wellfoundedness.
- Prewellordering comment "In set theory, a prewellordering is a binary relation that is transitive, total, and wellfounded (more precisely, the relation is wellfounded). In other words, if is a prewellordering on a set , and if we define bythen is an equivalence relation on , and induces a wellordering on the quotient . The order-type of this induced wellordering is an ordinal, referred to as the length of the prewellordering.A norm on a set is a map from into the ordinals.".
- Prewellordering label "Prewellordering".
- Prewellordering sameAs m.06pkdg.
- Prewellordering sameAs Q7242444.
- Prewellordering sameAs Q7242444.
- Prewellordering wasDerivedFrom Prewellordering?oldid=488790287.
- Prewellordering isPrimaryTopicOf Prewellordering.