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On $ω$-Strongly Measurable Cardinals (1911.04568v5)
Published 11 Nov 2019 in math.LO
Abstract: We prove several consistency results concerning the notion of $\omega$-strongly measurable cardinal in HOD. In particular, we show that is it consistent, relative to a large cardinal hypothesis weaker than $o(\kappa) = \kappa$, that every successor of a regular cardinal is $\omega$-strongly measurable in HOD.
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