Arc Connected
Description: A space $X$ is said to be arc connected if for every $a, b \in X$ there exists a continuous one-to-one function $f: [0,1] \to X$ such that $f(0)=a$ and $f(1)=b$
Description: A space $X$ is said to be arc connected if for every $a, b \in X$ there exists a continuous one-to-one function $f: [0,1] \to X$ such that $f(0)=a$ and $f(1)=b$