A definition of chart on topological manifold
Topics
About: topological manifold
The table of contents of this article
Starting Context
- The reader knows a definition of topological manifold.
- The reader knows a definition of homeomorphism.
Target Context
- The reader will have a definition of chart on topological manifold.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Definition
For any topological manifold, \(M\), the pair of any open subset, \(U \subseteq M\), and any homeomorphism, \(\phi: U \to \phi (U) \subseteq \mathbb{R}^n\), where \(\phi (U)\) is any open subset of \(\mathbb{R}^n\), denoted as \((U \subseteq M, \phi)\)
