Category theory | Group theory

Burnside category

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. (Wikipedia).

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Related pages

Span (category theory) | Grothendieck group | Additive category | Burnside ring | Homotopy theory | Profinite group | Category theory | Finite group