TOPICS
Search

Semianalytic


X subset= R^n is semianalytic if, for all x in R^n, there is an open neighborhood U of x such that X intersection U is a finite Boolean combination of sets {x^_ in U:f(x^_)=0} and {x^_ in U:g(x^_)>0}, where f,g:U->R are analytic.


See also

Analytic Function, Pseudoanalytic Function, Subanalytic

Explore with Wolfram|Alpha

References

Marker, D. "Model Theory and Exponentiation." Not. Amer. Math. Soc. 43, 753-759, 1996.

Referenced on Wolfram|Alpha

Semianalytic

Cite this as:

Weisstein, Eric W. "Semianalytic." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Semianalytic.html

Subject classifications