We show that the fundamental quandle defines a functor from the oriented tangle category to a suitably defined quandle category. Given a tangle decomposition of a link L, the fundamental quandle of L may be obtained from the fundamental quandles of tangles. We apply this result to derive a presentation of the fundamental quandle of periodic links, composite knots and satellite knots.

中文翻译：

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结量子分解

我们表明，基本的quandle定义了从定向缠结类别到适当定义的quandle类别的函子。给定的链路的纠结分解大号，根本quandle大号可以从缠结的基本quandles来获得。我们应用此结果得出周期链接，复合结和卫星结的基本量的表示。