Definition:Compatible Atlases

Definition
Let $M$ be a locally Euclidean space of dimension $d$.

Let $\mathscr F, \mathscr G$ be $d$-dimensional atlases of class $C^k$ on $M$.

Also known as
Compatible atlases are also referred to as equivalent atlases.

Also see

 * Equivalence of Definitions of Compatible Atlases
 * Compatibility of Atlases is Equivalence Relation
 * Definition:Topological Manifold