Generic I0 at $\aleph_\omega$

Vincenzo Dimonte

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arXiv · 1609.07970

Generic I0 at $\aleph_\omega$

Vincenzo Dimonte

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Abstract

In this paper it is introduced a generic large cardinal akin to I0, and its consequences are analyzed in the case that $\aleph_\omega$ is such a generic large cardinal. In this case $\aleph_\omega$ is J\'{o}nsson, and in a choiceless inner model many properties hold that are in contrast with PCF in ZFC.

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BibTeX RIS

Vincenzo Dimonte. 2016-09-26. Generic I0 at $\aleph_\omega$. https://arxiv.org/abs/1609.07970

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