论文标题
群集理论的A型（III）嵌入的连续质量
Continuous Quivers of Type A (III) Embeddings of Cluster Theories
论文作者
论文摘要
我们继续以（i）和（ii）的零件开始工作。在这一部分中，我们将哪种连续类型A Quivers得出等效分类，并将新的连续群集类别引入E-Clusters，这是簇的概括。在中间，我们在以前的连续集群类别的构造与新结构之间提供了严格的联系。我们最终引入了聚类理论，从而推广了聚类结构的概念。使用这个新的概念，我们演示了一个人如何以与突变兼容的方式将已知类型的群集理论嵌入新的电子群集理论中。这是一系列工作中的一部分（iii），该部分将以群集理论的突变的连续概括结束。
We continue the work started in parts (I) and (II). In this part we classify which continuous type A quivers are derived equivalent and introduce the new continuous cluster category with E-clusters, which are a generalization of clusters. In the middle we provide a rigorous connection between the previous construction of the continuous cluster category and the new construction. We conclude with the introduction of a cluster theory, generalizing the notion of a cluster structure. Using this new notion, we demonstrate how one embeds known type A cluster theories into the new E-cluster theory in a way compatible with mutation. This is part (III) in a series of work that will conclude with a continuous generalization of mutation for cluster theories.
