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JSYML
2007

Models of non-well-founded sets via an indexed final coalgebra theorem

13 years 11 months ago
Models of non-well-founded sets via an indexed final coalgebra theorem
The paper uses the formalism of indexed categories to recover the proof of a standard final coalgebra theorem, thus showing existence of final coalgebras for a special class of functors on categories with finite limits and colimits. This is then put to use in the context of a Heyting pretopos with a class of small maps, in order to build the final coalgebra for the Ps functor. This is then proved to provide a model for various set theories with the Anti-Foundation Axiom, depending on the chosen axiomatisation for the class of small maps.
Federico De Marchi, Benno van den Berg
Added 16 Dec 2010
Updated 16 Dec 2010
Type Journal
Year 2007
Where JSYML
Authors Federico De Marchi, Benno van den Berg
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