\begin{definition}[Definition:Locally Euclidean Space/Complex]
Let $M$ be a Hausdorff topological space.
$M$ is a '''complex locally Euclidean space of dimension $d$''' {{iff}} each point in $M$ has an open neighbourhood which is homeomorphic to an open set of the complex Euclidean space $\C^d$.
Category:Definitions/Manifolds
\end{definition}