Definition:Simply Connected/Definition 4
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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
Sources
- 2001: Andrew Pressley: Elementary Differential Geometry: $\S9.4$: Minimal Surfaces and Holomorphic Functions