COMPACT CARDINALS AND EIGHT VALUES IN CICHOŃ’S DIAGRAM

DOI10.1017/JSL.2018.17zbMATH Open1430.03057arXiv1706.09638OpenAlexW2724240907MaRDI QIDQ4579821

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Publication date: 10 August 2018

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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}.]

Full work available at URL: https://arxiv.org/abs/1706.09638

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