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Characterizing partitioned assemblies and realizability toposes

Published 28 Apr 2014 in math.CT | (1404.6997v2)

Abstract: 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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