论文标题

关于颜色的颜色作业的同义理论

On the homotopy theory of equivariant colored operads

论文作者

Bonventre, Peter, Pereira, Luis Alexandre

论文摘要

我们将模型结构构建在模型的朴素作业的类别上,其在具有不同颜色集的作业的背景下,由亚组家族确定的弱等效性(并在前传中的固定颜色模型结构上构建)。特别是,通过指定图亚组的家族(或更一般而言,是Blumberg-Hill的索引系统之一),我们在弱点的弱等价上获得了模型结构,该模型结构由弱等价由规范地图数据确定。

We build model structures on the category of equivariant simplicial operads with weak equivalences determined by families of subgroups, in the context of operads with a varying set of colors (and building on the fixed color model structures in the prequel). In particular, by specifying to the family of graph subgroups (or, more generally, one of the indexing systems of Blumberg-Hill), we obtain model structures on the category of equivariant simplicial operads whose weak equivalences are determined by norm map data.

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