학술논문
The first measurable can be the first inaccessible cardinal
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Working Paper
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Abstract
In [7] the second and third author showed that if the least inaccessible cardinal is the least measurable cardinal, then there is an inner model with $o(\kappa)\geq2$. In this paper we improve this to $o(\kappa)\geq\kappa+1$ and show that if $\kappa$ is a $\kappa^{++}$-supercompact cardinal, then there is a symmetric extension in which it is the least inaccessible and the least measurable cardinal.
Comment: 12 pages
Comment: 12 pages