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math.CT2016★ 4 cited
Mutation via Hovey twin cotorsion pairs and model structures in extriangulated categories
Hiroyuki Nakaoka, Yann Palu
We give a simultaneous generalization of exact categories and triangulated categories, which is suitable for considering cotorsion pairs, and which we call extriangulated categorie…
math.CT2016
Biset functors as module Mackey functors, and its relation to derivators
Hiroyuki Nakaoka
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 finit…