Definition:Simply Connected/Definition 1

Definition

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

$T$ is said to be simply connected if the fundamental group $\map {\pi_1} T$ of $T$ is trivial.

Sources

• 2000: James R. Munkres: Topology (2nd ed.): $9$: The Fundamental Group: $\S 52$: The Fundamental Group
• 2011: John M. Lee: Introduction to Topological Manifolds (2nd ed.) ... (previous) ... (next): $\S 7$: Homotopy and the Fundamental Group. Homotopy