A Mackey-functor theoretic interpretation of biset functors

Abstract

In this article, we consider a formulation of biset functors using the 2-category of finite sets with variable finite group actions. We introduce a 2-category $\mathbb{S}$, on which a biset functor can be regarded as a special kind of Mackey functors. This gives an analog of Dress' definition of a Mackey functor, in the context of biset functors.

Revised, 65 pages

Cited by in corpus (2)

• Several adjoint constructions for biset functors via Mackey-functorial interpretation
• Partial Tambara structure on the Burnside biset functor, induced from a derivator-like system of adjoint triplets