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math.LO2010
On automorphisms behind the Gitik -- Koepke model for violation of the Singular Cardinals Hypothesis w/o large cardinals
Vladimir Kanovei
It is known that the assumption that ``GCH first fails at \aleph_ω'' leads to large cardinals in ZFC. Gitik and Koepke have demonstrated that this is not so in ZF: namely there is…
math.LO2010★ 5 cited
Linear ROD subsets of Borel partial orders are countably cofinal in Solovay's model
Vladimir Kanovei
The following is true in the Solovay model. 1. If is a Borel partial quasi-order on a Borel set of the reals, is a ROD subset of , and restricted to is…
math.LO2010★ 5 cited
Linear ROD subsets of Borel partial orders are countably cofinal in the Solovay model
Vladimir Kanovei
The following is true in the Solovay model. 1. If is a Borel partial order on a set of the reals, and is a ROD subset of linearly ordered by , then the restr…