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Pullback and finite coproduct preserving functors between categories of permutation representations

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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.

http://www.tac.mta.ca/tac/volumes/16/28/16-28.dvi

http://www.tac.mta.ca/tac/volumes/16/28/16-28.ps

http://www.tac.mta.ca/tac/volumes/16/28/16-28.pdf

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/16/28/16-28.dvi

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/16/28/16-28.ps

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