Circular orderability and quandles
Geometric Topology
2022-04-21 v1 General Topology
Group Theory
Rings and Algebras
Abstract
In this paper, we introduce the notion of circular orderability for quandles. We show that the set all right (respectively left) circular orderings of a quandle is a compact topological space. We also show that the space of right (respectively left) orderings of a quandle embeds in its space of right (respectively left) circular orderings. Examples of quandles that are not left circularly orderable and examples of quandles that are neither left nor right circularly orderable are given.
Cite
@article{arxiv.2204.09458,
title = {Circular orderability and quandles},
author = {Idrissa Ba and Mohamed Elhamdadi},
journal= {arXiv preprint arXiv:2204.09458},
year = {2022}
}
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