Model theory

U-rank

In model theory, a branch of mathematical logic, U-rank is one measure of the complexity of a (complete) type, in the context of stable theories. As usual, higher U-rank indicates less restriction, and the existence of a U-rank for all types over all sets is equivalent to an important model-theoretic condition: in this case, superstability. (Wikipedia).

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Related pages

Type (model theory) | Stable theory | Algebraically closed field | Model theory | Monotonic function