vix.ing · top · new · best · stats · spec

Nontrivial Topological Quandles

2018/10/31 by Boris Tsvelikhovskiy, Tsvelikhovskiy, Boris
Mathematics · #Advanced Topology and Set Theory #Advanced Banach Space Theory #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.1811.00886

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].

Related