Definition:Locally Euclidean Space/Complex
< Definition:Locally Euclidean Space(Redirected from Definition:Complex Locally Euclidean Space)
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Definition
Let $M$ be a Hausdorff topological space.
$M$ is a complex locally Euclidean space of dimension $d$ if and only if each point in $M$ has an open neighbourhood which is homeomorphic to an open set of the complex Euclidean space $\C^d$.