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arXiv · 1811.00886

Nontrivial Topological Quandles

Boris Tsvelikhovskiy
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Abstract

We show that there are infinitely many nonisomorphic quandle structures on any topogical space $X$ of positive dimension. In particular, we disprove the conjecture, asserting that there are no nontrivial quandle structures on the closed unit interval $[0,1]$.

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Boris Tsvelikhovskiy. 2018-10-31. Nontrivial Topological Quandles. https://arxiv.org/abs/1811.00886

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