Definition:Simply Connected/Definition 2

Definition

Let $T = \struct{S, \tau}$ be a path-connected topological space.

$T$ is said to be simply connected if all loops in $T$ with identical base points are path-homotopic.

Sources

• 2000: James R. Munkres: Topology (2nd ed.): $9$: The Fundamental Group: $\S 52$: The Fundamental Group