Homeomorphism

Not to be confused with "Homomorphism"

Topological Homeomorphism

A topological homeomorphism is bijective map between two topological spaces [math]f:(X,\mathcal{J})\rightarrow(Y,\mathcal{K})[/math] where:

1. [math]f[/math] is bijective
2. [math]f[/math] is continuous
3. [math]f^{-1}[/math] is continuous