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arXiv · 2211.05861

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

James Pascaleff
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Abstract

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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James Pascaleff. 2022-11-10. Remarks on the equivalence between differential graded categories and A-infinity categories. https://arxiv.org/abs/2211.05861

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