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math.LO2021
A product forcing model in which the Russell-nontypical sets satisfy ZFC strictly between HOD and the universe
Vladimir Kanovei, Vassily Lyubetsky
A set is nontypical in the Russell sense, if it belongs to a countable ordinal definable set. The class HNT of all hereditarily nontypical sets satisfies all axioms of ZF and the d…
math.LO2021
On Russell typicality in Set Theory
Vladimir Kanovei, Vassily Lyubetsky
By Tzouvaras, a set is nontypical in the Russell sense, if it belongs to a countable ordinal definable set. The class HNT of all hereditarily nontypical sets satisfies all axioms o…