# homeomorphism

## 1. definition

Let \(X\) and \(Y\) be two topological spaces. A function \(f: X\rightarrow Y\) is a homeomorphism if:

- \(f\) is bijective
- \(f\) is a continuous function from \(X\) to \(Y\) (see continuous function)
- the inverse \(f^{-1}\) is a continuous function from \(X\) to \(Y\)