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arXiv · 1708.03691

Cichoń's maximum

Martin Goldstern·Jakob Kellner·Saharon Shelah
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Abstract

Assuming four strongly compact cardinals, it is consistent that all entries in Cichoń's diagram are pairwise different, more specifically that \[ \aleph_1 < \mathrm{add}(\mathrm{null}) < \mathrm{cov}(\mathrm{null}) < \mathfrak{b} < \mathrm{non}(\mathrm{meager}) < \mathrm{cov}(\mathrm{meager}) < \mathfrak{d} < \mathrm{non}(\mathrm{null}) < \mathrm{cof}(\mathrm{null}) < 2^{\aleph_0}.\]

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Martin Goldstern, Jakob Kellner, Saharon Shelah. 2019-05-31. Cichoń's maximum. https://doi.org/10.4007/annals.2019.190.1.2

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