Definition:Simply Connected/Definition 4

Definition

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

$T$ is said to be simply connected if all loops in $T$ are path-homotopic with a constant loop.

Also see

• Definition:Null-Homotopic

Sources

• 2001: Andrew Pressley: Elementary Differential Geometry: $\S9.4$: Minimal Surfaces and Holomorphic Functions