Definition:Weak Retract (Topology)

Definition
Let $T_1 = \left({S_1, \tau_1}\right)$ and $T_2 = \left({S_2, \tau_2}\right)$ be topological spaces.

Then $T_1$ is a weak retract of $T_2$
 * there exists a continuous mapping $f:S_2 \to S_2$: $f \circ f = f$ and $\operatorname{Im}\left({f}\right), T_1$ are homeomorphic.