Definition:Dimension (Topology)/Locally Euclidean Space

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Definition

Let $M$ be a locally Euclidean space.

Let $\left({U, \kappa}\right)$ be a coordinate chart such that:

$\kappa: U \to \kappa \left({U}\right) \subseteq \R^n$

for some $n \in \N$.


Then the natural number $n$ is called the dimension of $M$.


Also see


Sources