Affiliation:
1. Department of Mathematical Sciences, Stellenbosch University, Private Bag X1, Stellenbosch, Matieland 7602, Western Cape, South Africa
Abstract
Abstract
We obtain a non-trivial special case of Zilber’s quasiminimality conjecture for the complex exponential field. Specifically, we deal with those subsets of $\mathbb{C}$ defined by formulas of the form $\exists \bar{y}(P(x,\bar{y})=0)$, where $P$ is a term formed from the language $\{+,\times ,\exp \}$ together with parameters from $\mathbb{C}$.
Publisher
Oxford University Press (OUP)
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