Definition 4.13.1 (Path). Let $X$ be a topological space, $x, y \in X$, then a path from $x$ to $y$ is a mapping $f \in C([0, 1]; X)$ such that $f(0) = x$ and $f(1) = y$.
Definition 4.13.1 (Path). Let $X$ be a topological space, $x, y \in X$, then a path from $x$ to $y$ is a mapping $f \in C([0, 1]; X)$ such that $f(0) = x$ and $f(1) = y$.