\begin{definition}[Definition:Atlas/Maximal Atlas/Definition 1]
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''' of dimension $d$ {{iff}} $A$ is not strictly contained in another $C^k$-atlas.
Category:Definitions/Manifolds
\end{definition}