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Mackey functors for posets
Mackey functors for posets
- 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 $\Gamma_1$.
- Subjects :
- Mathematics - Algebraic Topology
55P99, 55R35, 55N30, 18G10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2312.13989
- Document Type :
- Working Paper