论文标题
分类galois理论中更高覆盖物的对称方法
A symmetric approach to higher coverings in categorical Galois theory
论文作者
论文摘要
在（强烈的伯克霍夫）加洛伊斯结构塔的背景下，从分类的galois理论意义上讲，我们表明，较高覆盖的概念承认了一个绝对的表征（相对于塔中的基本水平），而不是相对于较低阶的扩展而定义的。和对称，而不是依赖于指向某个选择方向的箭头。例如，该结果适用于格洛伊斯（Galois）的理论，例如，它可以帮助我们以纯粹的代数术语来表征较高的覆盖物。
In the context of a tower of (strongly Birkhoff) Galois structures in the sense of categorical Galois theory, we show that the concept of a higher covering admits a characterisation which is at the same time absolute (with respect to the base level in the tower), rather than inductively defined relative to extensions of a lower order; and symmetric, rather than depending on a perspective in terms of arrows pointing in a certain chosen direction. This result applies to the Galois theory of quandles, for instance, where it helps us characterising the higher coverings in purely algebraic terms.
