Definition:Coordinate Ball

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 ball in $\R^d$.

Then $U$ is known as the coordinate ball.

Sources

• 2003: John M. Lee: Introduction to Smooth Manifolds: $\S 1.1$: Smooth Manifolds. Topological Manifolds