Definition:Coordinate Domain
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Definition
Let $M$ be a topological manifold.
Let $\struct {U, \phi}$ be a chart of $M$.
Then $U$ is known as the coordinate domain of each of its points.
Also known as
The coordinate domain is also known as the coordinate neighborhood.
Sources
- 2003: John M. Lee: Introduction to Smooth Manifolds: $\S 1.1$: Smooth Manifolds. Topological Manifolds