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arXiv · 1812.05291

Cardinal characteristics at aleph omega

Shimon Garti·Moti Gitik·Saharon Shelah
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Abstract

We prove the consistency of the statement $\mathfrak{u}_{\aleph_ω}<2^{\aleph_ω}$. We show that the consistency strength of this statement is exactly a measurable cardinal $μ$ so that $o(μ)=μ^{++}$.

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Shimon Garti, Moti Gitik, Saharon Shelah. 2018-12-13. Cardinal characteristics at aleph omega. https://doi.org/10.1007/s10474-019-00971-0

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