\begin{definition}[Definition:Continuous Mapping (Topology)]
Let $T_1 = \struct {S_1, \tau_1}$ and $T_2 = \struct {S_2, \tau_2}$ be topological spaces.
Let $f: S_1 \to S_2$ be a mapping from $S_1$ to $S_2$.
== Continuous at a Point ==
{{Definition:Continuous Mapping (Topology)/Point}}
== Continuous on a Set ==
{{Definition:Continuous Mapping (Topology)/Set}}
== Continuous Everywhere ==
{{Definition:Continuous Mapping (Topology)/Everywhere}}
\end{definition}