Pullback and finite coproduct preserving functors between categories of permutation representations

Elango Panchadcharam and Ross Street

Motivated by applications to Mackey functors, Serge Bouc characterized pullback and finite coproduct preserving functors between categories of permutation representations of finite groups. Initially surprising to a category theorist, this result does have a categorical explanation which we provide.

Keywords: topos, permutation representations, limits and colimits, adjunction, Mackey functors

2000 MSC: 58A03, 18A30

Theory and Applications of Categories, Vol. 16, 2006, No. 28, pp 771-784.

A corrigendum is published as Theory and Applications of Categories, Vol. 18, 2007, No. 5, pp 150-156.