A topological space $X$ is simply connected if it is path-connected and for every two continuous maps $\gamma_1:[0,1]\to X$ and $\gamma_2:[0,1]\to X$ there exists a homotopy $F:[0,1]\times[0,1]\to X$ such that $F(x,0)= \gamma_1(x)$ and $F(x,1) = \gamma_2(x)$.
A topological space $X$ is simply connected if it is path-connected and has trivial fundamental group.
Wikidata ID: Q912058