===== Continuous function =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $\langle X,\mathcal{T}_X\rangle$ ... topological space |
| @#55CCEE: context     | @#55CCEE: $\langle Y,\mathcal{T}_Y\rangle$ ... topological space |
| @#FFBB00: definiendum | @#FFBB00: $ f\in \mathrm{it} $ |
| @#AAFFAA: inclusion   | @#AAFFAA: $ f:X\to Y $ |
| @#FFFDDD: for all     | @#FFFDDD: $V\in \mathcal{T}_Y$ |
| @#55EE55: postulate   | @#55EE55: $ f^{-1}(V)\in\mathcal{T}_X $ |

==== Discussion ====
=== Theorems ===
A function to $\mathbb R^n$ is continuous iff all its components are. 

>clarify topologies here
==== Parents ====
=== Context ===
[[Topological space]]
=== Requirements ===
[[Inverse function]]
=== Subset of ===
[[Function]]