Biset functors as module Mackey functors and its relation to derivators
Biset functors as module Mackey functors and its relation to derivators
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作为模块的 Biset 函子 Mackey 函子及其与导数的关系
DOI：
10.1080/00927872.2016.1147572
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发表时间：
2016
影响因子：
0.7
通讯作者：
Hiroyuki Nakaoka
中科院分区：
文献类型：
--
作者：
Satoshi Kondo;Seidai Yasuda;Satoshi Kondo;T. Ochiai and K. Shimomoto;K. shimomoto;下元数馬;下元数馬;下元数馬;Hiroyuki Nakaoka
本文证明了在有限群胚的2-范畴上，偏集函子范畴可以看作是Mackey函子范畴的一个反射幺半群子范畴。这个反射子范畴等价于伯恩赛德函子上的模范畴。作为反射性的结果，我们可以将一个偏集函子与有限范畴的2-范畴上的任何导子相关联。
In this article, we will show that the category of biset functors can be regarded as a reflective monoidal subcategory of the category of Mackey functors on the 2-category of finite groupoids. This reflective subcategory is equivalent to the category of modules over the Burnside functor. As a consequence of the reflectivity, we can associate a biset functor to any derivator on the 2-category of finite categories.