可加悬置范畴的同伦理论
A homotopy theory of additive categories with suspensions
摘要：
我们开发了一个同伦理论赋予endofunctors添加剂范畴，类似于模型结构的概念。我们用它来构造Hovey三元组（由两个相容的完全余挠对组成）在任意正合范畴中的同伦理论。我们证明了在弱幂等完备正合范畴中的正合模型结构（在Hovey意义下）的同伦范畴等价于作为预三角化范畴的上同-下同对象的子因子范畴.
英文摘要：
We develop a homotopy theory for additive categories endowed with endofunctors, analogous to the concept of a model structure. We use it to construct the homotopy theory of a Hovey triple (which consists of two compatible complete cotorsion pairs) in an arbitrary exact category. We show that the homotopy category of an exact model structure (in the sense of Hovey) in a weakly idempotent complete exact category is equivalent to the subfactor category of cofibrant-fibrant objects as pre-triangulated categories.
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