Definition:Chart Centered at Point
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Definition
Let $M$ be a topological manifold.
Let $\struct {U, \phi}$ be a chart of $M$.
Let $p \in M$ be a point.
Suppose $\phi$ is such that $\map \phi p = 0$.
Then the chart $\struct {U, \phi}$ is said to be centered at $p$.
Sources
- 2003: John M. Lee: Introduction to Smooth Manifolds: $\S 1.1$: Smooth Manifolds. Topological Manifolds