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arXiv · 1706.09638

Compact Cardinals and Eight Values in Cicho\'n's Diagram

Jakob Kellner·Anda Ramona Tănasie·Fabio Elio Tonti
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Abstract

Assuming three strongly compact cardinals, it is consistent that \[ \aleph_1 < \mathrm{add}(\mathrm{null}) < \mathrm{cov}(\mathrm{null}) < \mathfrak{b} < \mathfrak{d} < \mathrm{non}(\mathrm{null}) < \mathrm{cof}(\mathrm{null}) < 2^{\aleph_0}.\] Under the same assumption, it is consistent that \[ \aleph_1 < \mathrm{add}(\mathrm{null}) < \mathrm{cov}(\mathrm{null}) < \mathrm{non}(\mathrm{meager}) < \mathrm{cov}(\mathrm{meager}) < \mathrm{non}(\mathrm{null}) < \mathrm{cof}(\mathrm{null}) < 2^{\aleph_0}.\]

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Jakob Kellner, Anda Ramona Tănasie, Fabio Elio Tonti. 2017-06-29. Compact Cardinals and Eight Values in Cicho\'n's Diagram. https://doi.org/10.1017/jsl.2018.17

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