\begin{definition}[Definition:Chart Centered at Point]
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 $p$'''.
\end{definition}