\begin{definition}[Definition:Locally Connected Space/Definition 2]
A topological space $T = \struct{S, \tau}$ is '''locally connected''' {{iff}} $T$ is weakly locally connected at each point of $T$.
That is, a topological space $T = \struct{S, \tau}$ is '''locally connected''' {{iff}} each point of $T$ has a neighborhood basis consisting of connected sets of $T$.
\end{definition}