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arXiv · 2009.12775

Intermediate Models in Magidor-Radin Forcing- Part I

Tom Benhamou·Moti Gitik
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Abstract

We continue the work done by Gitik, Kanovei, Koepke, and later by the authors. We prove that for every set $A$ in a Magidor-Radin generic extension using a coherent sequence such that $o^{\vec{U}}(\kappa)<\kappa$, there is a subset $C'$ of the Magidor club such that $V[A]=V[C']$. Also we classify all intermediate $ZFC$ transitive models $V\subseteq M\subseteq V[G]$.

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Tom Benhamou, Moti Gitik. 2020-09-27. Intermediate Models in Magidor-Radin Forcing- Part I. https://arxiv.org/abs/2009.12775

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