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Mackey functors for posets

Mackey functors for posets

Authors :
Santiago, Guille Carrión
Ramos, Antonio Díaz
Publication Year :
2023

Abstract

We characterize cofibrant objects in the category of functors indexed in a filtered poset and we show that these objects are acyclic. As a consequence, we show that Mackey functors over posets are also acyclic, where we define this type of Mackey functors mimicking the classical notion. As application, we study homotopy colimits over posets and we give a homology decomposition for the classifying space of the Bianchi group $\Gamma_1$.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2312.13989
Document Type :
Working Paper