论文标题

循环排序性和难题

Circular orderability and quandles

论文作者

Ba, Idrissa, Elhamdadi, Mohamed

论文摘要

在本文中,我们介绍了难题的循环排序性概念。我们表明,该集团的圆形顺序是一个紧凑的拓扑空间。我们还表明,右(分别是左)的右空间嵌入其右(分别左)圆订单的空间。不剩下圆形有序的难题的示例,既没有左也是圆形有序的难题的示例。

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.

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