Ivan Shishkin, Birch Grove

Simply connected space

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Revision 1293

8/13/2026, 8:33:36 PM · Ancient Tree

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linked exercisesNoneConvex sets are simply connected

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8/13/2026, 7:36:05 PM · Sequoia

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Revision 1290

8/13/2026, 7:36:01 PM · Sequoia

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1A [[Topological space|topological space]] $X$ is simply connected if it is [[Path-connected space|path-connected]] and if its [[Fundamental group|fundamental group]] is [[trivial|trivial]]:
1A [[Topological space|topological space]] $X$ is simply connected if it is [[Path-connected space|path-connected]] and if its [[Fundamental group|fundamental group]] is trivial, in other words if:
2$$\pi_{1}(X)\cong\{0\}.$$

Revision 1258

8/13/2026, 10:45:23 AM · Ancient Tree

Concept created

A [[Topological space|topological space]] $X$ is simply connected if it is [[Path-connected space|path-connected]] and if its [[Fundamental group|fundamental group]] is [[trivial|trivial]]:
$$\pi_{1}(X)\cong\{0\}.$$