论文标题

遗传性阿贝尔模型类别中的规范分辨率

Canonical resolutions in hereditary abelian model categories

论文作者

Gillespie, James

论文摘要

如本文所述,任何Abelian模型类别的每个对象都有一个规范分辨率。当模型结构是遗传性的时,我们显示了如何将相关同型类别中的态度设置为从这些决议中计算的同一个组学组实现。我们还根据yoneda ext组提供了替代描述。

Each object of any abelian model category has a canonical resolution as described in this article. When the model structure is hereditary we show how morphism sets in the associated homotopy category may be realized as cohomology groups computed from these resolutions. We also give an alternative description of the morphism sets in terms of Yoneda Ext groups.

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