nLab pretriangulated A-∞-category

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.

References

• 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.