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arxiv: 1404.6997 · v2 · pith:Y326EQ7Pnew · submitted 2014-04-28 · 🧮 math.CT

Characterizing partitioned assemblies and realizability toposes

classification 🧮 math.CT
keywords realizabilityassembliespartitionedtoposesalgebraanswerscategorycharacterization
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We give simple characterizations of the category PAsm(A) of partitioned assemblies, and of the realizability topos RT(A) over a partial combinatory algebra A. This answers the question for an 'extensional characterization' of realizability toposes.

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