Work

Mackey functors for posets

Year: 2025

Type: article

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 pseudo-projective 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 $$\Gamma _1$$ Γ 1 .

Source: Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas

DOI: 10.1007/s13398-025-01704-5

Authors: Guille Carrión Santiago, Antonio Díaz Ramos

Institution: Universidad de Málaga

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funders: Universidad de Málaga, Ministerio de Ciencia e Innovación, Junta de Andalucía