In category theory and homotopy theory the Burnside category of a finite group G is a category whose objects are finite G-sets and whose morphisms are (equivalence classes of) spans of G-equivariant maps. It is a categorification of the Burnside ring of G. == Definitions == Let G be a finite group (in fact everything will work verbatim for a profinite group).
In category theory and homotopy theory the Burnside category of a finite group G is a category whose objects are finite G-sets and whose morphisms are (equivalence classes of) spans of G-equivariant maps. It is a categorification of the Burnside ring of G. == Definitions == Let G be a finite group (in fact everything will work verbatim for a profinite group).
Source: Wikipedia "Burnside category" · CC BY-SA 4.0
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