Definition:Coordinate Domain

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