循环有序性与困境
Circular orderability and quandles
摘要：
在本文中，我们引入了quandles的循环有序性的概念。我们证明了quandle的所有右（左）循环序的集合是一个紧的拓扑空间。我们还表明，空间的右（左）序的quandle嵌入在其空间的右（左）循环序。给出了不是左循环有序的量子点的例子和既不是左循环有序也不是右循环有序的量子点的例子。
英文摘要：
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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