Mathematics · Definition
Atlas
topologydifferential geometry
Before you start you need to know
Definition
An atlas is a collection of charts that covers the manifold and allows local coordinates to be compared through changes of coordinates.
\[\mathcal{A}=\{(U_i,\varphi_i)\}_i\]
What comes next
References
- John M. Lee, Introduction to Smooth Manifolds, 2nd edition, Springer, 2013.