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arXiv · 2609.15653

Mixing Extriangulated Model Structures

Junpeng Ren·Xianhui Fu
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Abstract

Let $(\mathscr{C},\mathbb{E},\mathfrak{s})$ be a weakly idempotent complete extriangulated category. We generalize Cole's Theorem to construct a mixed admissible model structure $\mathcal{M}_m$ from two compatible admissible model structures relative to proper classes $ξ_1\subseteqξ_2$ of $\mathscr{C}$. We then explicitly characterize the cofibrant objects of $\mathcal{M}_m$. Finally, we apply these results to exact and triangulated categories, recovering and extending recent work on mixed model structures.

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Junpeng Ren, Xianhui Fu. 2026-09-14. Mixing Extriangulated Model Structures. https://arxiv.org/abs/2609.15653

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