Sh:1131
- Kellner, J., Latif, A., & Shelah, S. (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 Latif, Anda and Shelah, Saharon}, 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} }