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arXiv · 2301.09435

Adding highly generic subsets of $\omega_2$

Esfandiar Eslami·Mohammad Golshani·Rouholah Hoseini Naveh
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Abstract

Starting from the $\rm{GCH},$ we build a cardinal and $\rm{GCH}$ preserving generic extension of the universe, in which there exists a set $A \subseteq \omega_2$ of size $\aleph_2$ so that every countably infinite subset of $A$ or $\omega_2 \setminus A$ is Cohen generic over the ground model.

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Esfandiar Eslami, Mohammad Golshani, Rouholah Hoseini Naveh. 2023-01-23. Adding highly generic subsets of $\omega_2$. https://arxiv.org/abs/2301.09435

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