Definition 4.13.2 (Path-Connected). Let $X$ be a topological space, then $X$ is path-connected if for every $x, y \in X$, there exists a path from $x$ to $y$.
Definition 4.13.2 (Path-Connected). Let $X$ be a topological space, then $X$ is path-connected if for every $x, y \in X$, there exists a path from $x$ to $y$.