\begin{definition}[Definition:Homeomorphism/Topological Spaces]
Let $T_\alpha = \left({S_\alpha, \tau_\alpha}\right)$ and $T_\beta = \left({S_\beta, \tau_\beta}\right)$ be topological spaces.
Let $f: T_\alpha \to T_\beta$ be a bijection.
\end{definition}