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arXiv · 1601.06193

Biset functors as module Mackey functors, and its relation to derivators

Hiroyuki Nakaoka
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Abstract

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.

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Hiroyuki Nakaoka. 2016-01-22. Biset functors as module Mackey functors, and its relation to derivators. https://arxiv.org/abs/1601.06193

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