Distributivity of categories of coalgebras

نویسندگان

H. Peter Gumm

Jesse Hughes

Tobias Schröder

چکیده

We prove that for any Set-endofunctor F the category SetF of F -coalgebras is distributive if F preserves preimages, i.e. pullbacks along an injective map, and that the converse is also true whenever SetF has finite products.

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