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arXiv · 1911.04568

On $\omega$-Strongly Measurable Cardinals

Omer Ben-Neria·Yair Hayut
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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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BibTeXRIS

Omer Ben-Neria, Yair Hayut. 2019-11-11. On $\omega$-Strongly Measurable Cardinals. https://arxiv.org/abs/1911.04568

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