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In this paper we give a different proof of Quillen’s Dévissage theorem using Barwick’s theorem of the heart. The key ingredient is a certain short exact sequence of dg categories, which is closely related with the Auslander-type construction for nilpotent extensions which was used in the papers of Kuznetsov-Lunts \cite{KL15}, Land-Tamme \cite{LT19} and the author \cite{E20}.

生成讲解博客的中文版本

生成AI智能校验的中文版本