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Definable Set


A definable set is an analytic, Borel, or coanalytic set.

In model theory, a definable set in a structure is a set of tuples specified by a first-order formula, with parameters from a stated parameter set. Boolean operations on such sets correspond to logical combinations of formulas. A Keisler measure is a finitely additive probability measure on this Boolean algebra.


See also

Definable Amenability, Definable Group, Keisler Measure, Model Theory

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References

Conant, G.; Gannon, K.; and Hanson, J. E. "Generically Stable Keisler Measures." 25 Aug 2026. https://arxiv.org/abs/2608.24605.

Referenced on Wolfram|Alpha

Definable Set

Cite this as:

Weisstein, Eric W. "Definable Set." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DefinableSet.html

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