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... - ✗ ✗ Totalpreorder ✗ ✗ Y ✗ ✗ ✗ Y ✗ ✗ Totalorder ✗ Y Y ✗ ✗ ✗ Y ✗ ✗ Prewellordering ✗ ✗ Y Y ✗ ✗ Y ✗ ✗ Well-quasi-ordering ✗ ✗ ✗ Y ✗ ✗ Y ✗ ✗ Well-ordering... - generalizationOrdinalnumber Well-founded set Well partialorderPrewellorderingDirected set Manolios P, Vroon D. Algorithms for Ordinal Arithmetic... - ✗ ✗ 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... - the correspondingprewellorderings are (at least in essence). The idea is that, for a givenpointclass Γ, we want the prewellorderingsbelow a given point...
