The Fundamental Group of the Circle, Part 1
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The Fundamental Group of the Circle, Part 1
Welcome to part one of a six-part series where we prove that the fundamental group of the circle $\pi_1(S^1)$ is isomorphic to $\mathbb{Z}$. In this post we define a map from $\mathbb{Z}$ to $\pi_1(S^1)$ and make some simple observations via pictures and an animation! The proof follows that found in Hatcher's Algebraic Topology, section 1.1.
Sep 9, 2018
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