We prove several consistency results concerning the notion of ω-strongly measurable cardinal in. In particular, we show that is it consistent, relative to a large cardinal hypothesis weaker than, that every successor of a regular cardinal is -strongly measurable in.
Bibliographical noteFunding Information:
The first author was partially supported by the Israel Science Foundation Grant 1832/19. The second author research was partially supported by the Lise Meitner FWF grant 2650-N35 and by the Israel Science Foundation Grant 1967/21.
© The Author(s), 2023. Published by Cambridge University Press.