If are exponential polynomials, then has finitely many connected components.
Khovanski's Theorem
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References
Marker, D. "Model Theory and Exponentiation." Not. Amer. Math. Soc. 43, 753-759, 1996.Referenced on Wolfram|Alpha
Khovanski's TheoremCite this as:
Weisstein, Eric W. "Khovanski's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/KhovanskisTheorem.html