nLab pretriangulated A-∞-category

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Idea

Just as pretriangulated dg-categories are a model for stable linear (∞,1)-categories in the setting of dg-categories, pretriangulated $A_\infty$ -categories are designed to be a model for stable linear (∞,1)-categories in the setting of $A_\infty$ -categories.

Yuri Bespalov, Volodymyr Lyubashenko, Oleksandr Manzyuk, Pretriangulated $A_\infty$ -categories, Proceedings of the Institute of Mathematics of NAS of Ukraine, vol. 76, Institute of Mathematics of NAS of Ukraine, Kyiv, 2008, 599 p., pdf.

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