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On \(\mathfrak{d}_\mu\) for \(\mu\) singular

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Abstract

We deal with cardinal invariants of singular cardinal \(\mu\), mainly with the dominating number \(\mathfrak{d}\mu\) but also some relatives. In particular, we prove that for strong limit singular \(\mu\) it is always maximal. We end noting complementary consistency results.

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References

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Correspondence to S. Shelah.

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The author thanks Alice Leonhardt for the beautiful typing. References like [4, Th0.2=Ly5] means the label of Th.0.2 is y5. The reader should note that the version in my website is usually more updated than the one in the mathematical archive.

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Shelah, S. On \(\mathfrak{d}_\mu\) for \(\mu\) singular. Acta Math. Hungar. 161, 245–256 (2020). https://doi.org/10.1007/s10474-019-00999-2

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  • DOI: https://doi.org/10.1007/s10474-019-00999-2

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