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math.CT2019
Algebraic cocompleteness and finitary functors
Jiří Adámek
A number of categories is presented that are algebraically complete and cocomplete, i.e., every endofunctor has an initial algebra and a terminal coalgebra. For all finitary (and,…
math.CT2019
On Finitary Functors
Jiří Adámek, Stefan Milius, Lurdes Sousa +1
A simple criterion for a functor to be finitary is presented: we call finitely bounded if for all objects every finitely generated subobject of factorizes through the…