English

Nontrivial Topological Quandles

Geometric Topology 2018-11-05 v1

Abstract

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

Keywords

Cite

@article{arxiv.1811.00886,
  title  = {Nontrivial Topological Quandles},
  author = {Boris Tsvelikhovskiy},
  journal= {arXiv preprint arXiv:1811.00886},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1805.05908

R2 v1 2026-06-23T05:02:09.865Z