Another ordering of the ten cardinal characteristics in Cichoń's diagram

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Publication:5227147

DOI10.14712/1213-7243.2015.273zbMATH Open1463.03015arXiv1712.00778OpenAlexW2775085327MaRDI QIDQ5227147

Author name not available (Why is that?)

Publication date: 5 August 2019

Published in: (Search for Journal in Brave)

Abstract: It is consistent that [ aleph_1 < mathrm{add}(mathrm{Null}) < mathrm{add}(mathrm{Meager})= mathfrak{b} < mathrm{cov}(mathrm{Null}) < mathrm{non}(mathrm{Meager}) < mathrm{cov}(mathrm{Meager}) = 2^{aleph_0}. ] Assuming four strongly compact cardinals, it is consistent that [ aleph_1 < mathrm{add}(mathrm{Null}) <mathrm{add}(mathrm{Meager})=mathfrak{b} < mathrm{cov}(mathrm{Null}) < mathrm{non}(mathrm{Meager}) < mathrm{cov}(mathrm{Meager}) < mathrm{non}(mathrm{Null}) < mathrm{cof}(mathrm{Meager})= mathfrak{d} < mathrm{cof}(mathrm{Null}) < 2^{aleph_0}. ]


Full work available at URL: https://arxiv.org/abs/1712.00778

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