2 papers
math.CT2026
The Burnside ring of simple -sets
José Miguel Calderón León, Alberto G. Raggi-Cárdenas, Itzel Rosas +1
The Burnside ring of a finite category, introduced by Webb, generalizes the classical Burnside ring of a finite group. However, unlike the classical case, the Burnside ring of a fi…
math.CT2025
Characterization of groupoid categories in terms of its category of -sets
J. Miguel Calderón, Alberto Gerardo Raggi-Cárdenas, Itzel Rosas +1
A -set is a functor from the category to the category of finite sets and functions. The category of -sets, $\mathcal{C} - \operatorname*{set…