\begin{definition}[Definition:Atlas/Maximal Atlas/Definition 2]
Let $M$ be a topological space.
Let $A$ be a $d$-dimensional atlas of class $C^k$ of $M$.
$A$ is a '''maximal $C^k$-atlas''' {{iff}} $A$ contains all charts of $M$ that are $C^k$-compatible with $A$.
Category:Definitions/Manifolds
\end{definition}