Mathematics · Definition
Chart
topologydifferential geometry
Definition
A chart of a manifold is a homeomorphism that identifies an open subset of the manifold with an open subset of R^n.
\[\varphi:U\overset{\cong}{\longrightarrow}V\subset\mathbb{R}^n\]
Also called: local coordinate
What comes next
References
- John M. Lee, Introduction to Smooth Manifolds, 2nd edition, Springer, 2013.