Is there a way to show that the following ways of linking an unknot to an infinite horizontal pole are inequivalent?
Perhaps the Wirtinger presentation would work, but I am not sure because of the infinite pole.
2026-03-28 01:25:50.1774661150
Ways to link the unknot to a pole
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They are equivalent.
Start with the left unknot. It has two upper strands: a left one and a right one. Grasp the right upper strand, and pull it towards the left, over the left upper strand. You will obtain a copy of the right unknot.