Biset functors as module Mackey functors, and its relation to derivators
Category Theory
2016-01-26 v1
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.
Cite
@article{arxiv.1601.06193,
title = {Biset functors as module Mackey functors, and its relation to derivators},
author = {Hiroyuki Nakaoka},
journal= {arXiv preprint arXiv:1601.06193},
year = {2016}
}
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37 pages