Nontrivial Topological Quandles
classification
🧮 math.GT
keywords
nontrivialquandlestructuresthereassertingclosedconjecturedimension
read the original 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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