Category:Continuous Image of Connected Space is Connected

This category contains pages concerning Continuous Image of Connected Space is Connected:

Let $T_1$ and $T_2$ be topological spaces.

Let $S_1 \subseteq T_1$ be connected.

Let $f: T_1 \to T_2$ be a continuous mapping.

Then the image $f \sqbrk {S_1}$ is connected.