论文标题
多元复制的模型类别结构
Model category structures on multicomplexes
论文作者
论文摘要
我们在多重复合体类别上介绍了模型结构家族。有一个合成生成的模型结构，其中弱等效性是在相关光谱序列的固定阶段诱导同构的形态。给出了相应的模型结构，用于截短的多重复合版，在双色复合物和多重复合物之间进行插值。对于频谱序列的固定阶段，所有这些类别的模型结构均显示为quillen等效。
We present a family of model structures on the category of multicomplexes. There is a cofibrantly generated model structure in which the weak equivalences are the morphisms inducing an isomorphism at a fixed stage of an associated spectral sequence. Corresponding model structures are given for truncated versions of multicomplexes, interpolating between bicomplexes and multicomplexes. For a fixed stage of the spectral sequence, the model structures on all these categories are shown to be Quillen equivalent.
