Definition:Topological Manifold with Boundary/Chart/Interior

Definition

Let $M$ be a $n$-dimensional topological manifold with boundary.

Let $\struct {U, \varphi}$ be a chart of $M$.

The chart $\struct {U, \varphi}$ is an interior chart if and only if $\map \varphi U$ is an open subset of $\R^n$.

Sources

• 2013: John M. Lee: Introduction to Smooth Manifolds (2nd ed.): Chapter $1$: Smooth Manifolds: $\S$ Manifolds with Boundary