Ivan Shishkin, Birch Grove

Fundamental group of the circle

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8/13/2026, 10:28:58 AM · Ancient Tree

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The [[Fundamental group|fundamental group]] of the [[Circle|circle]] is [[Group isomorphism|isomorphic]] to the [[Group|group]] of [[Integer|integers]]:
$$\pi_{1}(S^{1})\cong \mathbb{Z}.$$