===== Chart =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $\langle M,T_X\rangle$ ... second-countable Hausdorff space |
| @#55CCEE: context     | @#55CCEE: $n\in \mathbb N$ |
| @#BBDDEE: let         | @#BBDDEE: $\langle \mathbb R^n,T_{\mathbb R^n}\rangle$ ... Euclidean topology |
| @#FFBB00: definiendum | @#FFBB00: $\langle U,\phi\rangle\in$ it |
| @#AAFFAA: inclusion   | @#AAFFAA: $U\in T_M$ |
| @#FFFDDD: exists      | @#FFFDDD: $U_{\mathbb R^n}\in T_{\mathbb R^n}$ |
| @#AAFFAA: inclusion   | @#AAFFAA: $\phi:U\to U_{\mathbb R^n}$|
| @#AAFFAA: inclusion   | @#AAFFAA: $\phi$ ... homeomorphism |

==== Discussion ====
The charts on $M$ are the homeomorphism into $\mathbb R^n$.

==== Parents ====
=== Context ===
[[Second-countable Hausdorff space]]
=== Context* ===
[[Natural number]]
=== Requirements ===
[[Euclidean topology]]
=== Subset of ===
[[Homeomorphism]]