Subanalytic
X subset= R^n is subanalytic if, for all x in R^n, there is an open set U and a bounded semianalytic set Y subset R^(n+m) such that X intersection U is the projection of Y into U.
See also
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References
Bierstone, E. and Milman, P. "Semialgebraic and Subanalytic Sets." IHES Pub. Math. 67, 5-42, 1988.Marker, D. "Model Theory and Exponentiation." Not. Amer. Math. Soc. 43, 753-759, 1996.Referenced on Wolfram|Alpha
SubanalyticCite this as:
Weisstein, Eric W. "Subanalytic." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Subanalytic.html