论文标题

关于差分类别与一个赋值类别之间的等价性的评论

Remarks on the equivalence between differential graded categories and A-infinity categories

论文作者

Pascaleff, James

论文摘要

我们表明,差异分类类别的同型理论和$ \ mathrm {a} _ \ infty $ - 字段上的类别等于$(\ infty,1)$ - 分类级别。结果是Canonaco-ornaghi-Stellari定理的推论,并结合了不同版本的$(\ infty,1)$类别之间的一般关系。

We show that the homotopy theories of differential graded categories and $\mathrm{A}_\infty$-categories over a field are equivalent at the $(\infty,1)$-categorical level. The results are corollaries of a theorem of Canonaco-Ornaghi-Stellari combined with general relationships between different versions of $(\infty,1)$-categories.

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