Order and Recursion in TopoiDepartment of Pure Mathematics, S.G.S., Australian National University, 1977 - Recursion theory - 226 pages |
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A X A Applying Axiom boolean topos called cartesian closed category of sets CHAPTER choice clearly coequalizer commute complement composite construction Conversely coproduct COROLLARY defined definition denoted diagram element equalizer equivalent example factors false functor given gives hence Heyting algebra identity implies internal isomorphism least LEMMA limits logic map g Math mono natural numbers object non-empty obtained Ofin order finite object pair partial map partial order Proof provides pullback recursion reflective subcategory reflects reflexive relation result right adjoint RX A X B splits square statement Street order subobject sufficient Suppose takes THEOREM topoi topos with natural transitive true unique map University yields Га РА