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A. Pitt (1989)
Non trivial power types can't be subtypes of polymorphic types[1989] Proceedings. Fourth Annual Symposium on Logic in Computer Science
A. Blass (1986)
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Author’s address: Department of Pure Mathematics and Mathematical Statistics University of Cambridge Wilberforce Road, Cambridge CB3 0WB U.K. E-mail: ptj@dpmms.cam.ac.uk
We show by an example that a fixpoint object in a topos need not be Ω-discrete, though it does share with the polymorphic types studied by Pitts Non-trivial power types can't be subtypes of polymorphic types, 6-13, 1989 the property that no nontrivial power-object can be embedded in it.
Georgian Mathematical Journal – de Gruyter
Published: Mar 1, 2009
Keywords: Fixpoint object; discrete object; cartesian closed category; topos
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