Definition

Simply Connected

Lie Groups and Lie Algebras · lie-groups.tex

A path-connected space $X$ (Definition~Connectedness and Path-Connectedness) is simply connected if every loop $\gamma : [0,1] \to X$ with $\gamma(0) = \gamma(1)$ can be continuously contracted to a point, i.e., the fundamental group $\pi_1(X) = 0$.

Depends on

Connectedness and Path-Connectedness

Used in

Covering Space

Dependency Graph

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