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arXiv · 1703.08687

A homotopy theory of Nakaoka twin cotorsion pairs

Zhi-Wei Li
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Abstract

We show that the Verdier quotients can be realized as subfactors by the homotopy theory of additive categories with suspensions developed in \cite{ZWLi2, ZWLi3}. As applications, we develop the homotopy theory of Nakaoka twin cotorsion pairs of triangulated categories and prove that Iyama-Yoshino triangulated subfactors are Verdier quotients under suitable conditions.

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Zhi-Wei Li. 2017-03-25. A homotopy theory of Nakaoka twin cotorsion pairs. https://arxiv.org/abs/1703.08687

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