Definition of Prewellorderings. Meaning of Prewellorderings. Synonyms of Prewellorderings
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Definition of Prewellorderings
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- In set theory, a prewellordering on a set X {\displaystyle X} is a preorder ≤ {\displaystyle \leq } on X {\displaystyle X} (a transitive and reflexive... - group Norm map, a map from a pointset into the ordinalsinducing a prewellordering Norm group, a group in classfieldtheory that is the image of the... - ✗ ✗ Totalpreorder ✗ ✗ Y ✗ ✗ ✗ Y ✗ ✗ Totalorder ✗ Y Y ✗ ✗ ✗ Y ✗ ✗ Prewellordering ✗ ✗ Y Y ✗ ✗ Y ✗ ✗ Well-quasi-ordering ✗ ✗ ✗ Y ✗ ✗ Y ✗ ✗ Well-ordering... - {\displaystyle \varTheta } is also the supremum of the ordertypes of all prewellorderings of the reals.[citation needed] It may not be obvious that it can be... - of all the projectiveordinals (the suprema of the lengths of all prewellorderings of the real numbers at a particularlevel in the projective hierarchy)... - generalizationOrdinalnumber Well-founded set Well partialorderPrewellorderingDirected set Bonnet, Rémi; Finkel, Alain; Haddad, Serge; Rosa-Velardo... - ✗ ✗ Totalpreorder ✗ ✗ Y ✗ ✗ ✗ Y ✗ ✗ Totalorder ✗ Y Y ✗ ✗ ✗ Y ✗ ✗ Prewellordering ✗ ✗ Y Y ✗ ✗ Y ✗ ✗ Well-quasi-ordering ✗ ✗ ✗ Y ✗ ✗ Y ✗ ✗ Well-ordering... - ✗ ✗ Totalpreorder ✗ ✗ Y ✗ ✗ ✗ Y ✗ ✗ Totalorder ✗ Y Y ✗ ✗ ✗ Y ✗ ✗ Prewellordering ✗ ✗ Y Y ✗ ✗ Y ✗ ✗ Well-quasi-ordering ✗ ✗ ✗ Y ✗ ✗ Y ✗ ✗ Well-ordering... - ✗ ✗ Totalpreorder ✗ ✗ Y ✗ ✗ ✗ Y ✗ ✗ Totalorder ✗ Y Y ✗ ✗ ✗ Y ✗ ✗ Prewellordering ✗ ✗ Y Y ✗ ✗ Y ✗ ✗ Well-quasi-ordering ✗ ✗ ✗ Y ✗ ✗ Y ✗ ✗ Well-ordering... - ✗ ✗ Totalpreorder ✗ ✗ Y ✗ ✗ ✗ Y ✗ ✗ Totalorder ✗ Y Y ✗ ✗ ✗ Y ✗ ✗ Prewellordering ✗ ✗ Y Y ✗ ✗ Y ✗ ✗ Well-quasi-ordering ✗ ✗ ✗ Y ✗ ✗ Y ✗ ✗ Well-ordering...
