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CONTINUOUS QUIVERS OF TYPE <i>A</i> (III) EMBEDDINGS OF CLUSTER THEORIES

CONTINUOUS QUIVERS OF TYPE <i>A</i> (III) EMBEDDINGS OF CLUSTER THEORIES

Abstract We continue the work started in parts (I) and (II) of this series. In this paper, we classify which continuous quivers of type A are derived equivalent. Next, we define the new ${\mathcal {C}(A_{{\mathbb {R}},S})}$ , which we call weak continuous cluster category. It is a triangulated category, it …