Mackey functors for posets

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s13398-025-01704-5.pdf (330.18 KB)

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URI: https://hdl.handle.net/10630/37787
DOI: 10.1007/s13398-025-01704-5

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2025-02-03

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Springer Nature

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Facultad de Ciencias

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Álgebra, Geometría y Topología

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Algebras topológicas

Abstract

We define Mackey functors over posets mimicking the classical notion and introduce a weak version of them. Then we show that they are acyclic by analyzing cofibrant and pseudoprojective objects in the category of functors indexed in a filtered poset. As application, we study homotopy colimits over posets and we give a homology decomposition for the classifying space of the Bianchi group

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Carrión Santiago, G., & Díaz Ramos, A. (2025). Mackey functors for posets. Revista de La Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 119(2). https://doi.org/10.1007/s13398-025-01704-5

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Atribución 4.0 Internacional
Except where otherwised noted, this item's license is described as Atribución 4.0 Internacional