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math.CT2021★ 5 cited
Positive and negative extensions in extriangulated categories
Mikhail Gorsky, Hiroyuki Nakaoka, Yann Palu
We initiate the study of derived functors in the setting of extriangulated categories. By using coends, we adapt Yoneda's theory of higher extensions to this framework. We show tha…
math.CT2020★ 13 cited
External triangulation of the homotopy category of exact quasi-category
Hiroyuki Nakaoka, Yann Palu
Extriangulated categories axiomatize extension-closed subcategories of triangulated categories. We show that the homotopy category of an exact quasi-category can be equipped with a…