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Norms of Generalized Mackey and Tambara Functors

2024/09/20 by Spitz, Ben
#18D15 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2409.13131

Abstract

Let G be a finite group. A G-Tambara functor can be defined as a product-preserving functor PG → Set (satisfying one additional condition), where PG is a category that is constructed in a straightforward way from the category of finite G-sets. By replacing the category of finite G-sets with other categories, we obtain a more general notion of "Tambara functor". This more general notion subsumes the notion of motivic Tambara functors introduced by Bachmann. In this article, we extend a result of Hoyer about G-Tambara functors to this more general context.

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