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arxiv: math/0508203 · v1 · pith:CARHWXZYnew · submitted 2005-08-11 · 🧮 math.HO · math.AT· math.GR

Touching the Z₂ in Three-Dimensional Rotations

classification 🧮 math.HO math.ATmath.GR
keywords braidsclosedfactfundamentalgrouppathspresentedproof
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A simple and self-contained proof is presented of the well-known fact that the fundamental group of SO(3) is $Z_2$, using a relationship between closed paths in SO(3) and braids.

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