Sh:1131
- Kellner, J., Shelah, S., & Tănasie, A. (2019). Another ordering of the ten cardinal characteristics in Cichoń’s diagram. Comment. Math. Univ. Carolin., 60(1), 61–95. arXiv: 1712.00778 DOI: 10.14712/1213-7243.2015.273 MR: 3946665
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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}. - published version (35p)
Bib entry
@article{Sh:1131,
author = {Kellner, Jakob and Shelah, Saharon and T\u{a}nasie, Anda},
title = {{Another ordering of the ten cardinal characteristics in Cicho\'n's diagram}},
journal = {Comment. Math. Univ. Carolin.},
fjournal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {60},
number = {1},
year = {2019},
pages = {61--95},
issn = {0010-2628},
mrnumber = {3946665},
mrclass = {03E17 (03E35 03E55)},
doi = {10.14712/1213-7243.2015.273},
note = {\href{https://arxiv.org/abs/1712.00778}{arXiv: 1712.00778}},
arxiv_number = {1712.00778}
}