A Singular Mathematical Promenade by Étienne Ghys
Consider two graphs of real polynomials that pass through the origin. Intersect the graphs with a vertical line slightly to the left of the y-axis and then move the line to the right until it is slightly to the right of the y-axis. Follow the intersection points of the line with the graphs: you obtain a permutation of two points, either trivial or nontrivial.
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