\begin{definition}[Definition:Homeomorphism/Terminology]
Let $T_\alpha = \struct {S_\alpha, \tau_\alpha}$ and $T_\beta = \struct {S_\beta, \tau_\beta}$ be topological spaces.
Let a '''homeomorphism''' exist between $T_\alpha$ and $T_\beta$.
Then $T_\alpha$ and $T_\beta$ are said to be '''homeomorphic'''.
The symbolism $T_\alpha \sim T_\beta$ is often seen to denote that $T_\alpha$ is '''homeomorphic''' to $T_\beta$.
Category:Definitions/Homeomorphisms
\end{definition}