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ENTCS
2002

Some Co-Birkhoff Type Theorems

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Some Co-Birkhoff Type Theorems
We consider the dual of Theorem 1 from [33], relating closure conditions on subcategories with projectivity classes for collections of discrete cocones. We extend these results by adding a new operator for closure under domains of epis and show that this corresponds to taking projectivity classes for cocones with vertex a subobject of the terminal object. We show that these theorems apply to categories of coalgebras under reasonable assumptions on the base category and endofunctor. Lastly, we discuss cofree for V coalgebras in this setting and give examples of so-called Horn covarieties of coalgebras.
Jesse Hughes
Added 18 Dec 2010
Updated 18 Dec 2010
Type Journal
Year 2002
Where ENTCS
Authors Jesse Hughes
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