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arxiv: 1206.3703 · v1 · pith:UU4YPNU7new · submitted 2012-06-16 · 🧮 math.LO

Singular cardinals and strong extenders

classification 🧮 math.LO
keywords singularkappastrongcardinalcardinalscircumstancesexistextender
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We investigate the circumstances under which there exist a singular cardinal $\mu$ and a short $(\kappa, \mu)$-extender $E$ witnessing "$\kappa$ is $\mu$-strong", such that $\mu$ is singular in $\Ult(V, E)$.

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