Definition:Connected Set (Topology)/Also known as

Connected Set: Also known as

A connected set of a topological space $T = \struct {S, \tau}$ is often found referred to as a connected subset (of $T$).

Some sources refer to the concept of a connected subspace, which is no more than a connected set under the subspace topology.

On $\mathsf{Pr} \infty \mathsf{fWiki}$, if the distinction is required, it will be specified explicitly.