Definition:Coordinate Cube
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Definition
Let $M$ be a topological manifold of dimension $d$.
Let $\struct {U, \phi}$ be a chart of $M$.
Suppose $\map \phi U$ is an open cube in $\R^d$.
Then $U$ is known as the coordinate cube.
Sources
- 2003: John M. Lee: Introduction to Smooth Manifolds: $\S 1.1$: Smooth Manifolds. Topological Manifolds