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arxiv: 1708.03691 · v3 · pith:LRAMF7GXnew · submitted 2017-08-08 · 🧮 math.LO

Cicho\'n's maximum

classification 🧮 math.LO
keywords mathrmnullalephcichomathfrakmeagerassumingcardinals
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Assuming four strongly compact cardinals, it is consistent that all entries in Cicho\'n'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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