Sh:1125

• Golshani, M., & Shelah, S. (2024). On $C^s_n(\kappa)$ and the Juhasz-Kunen question. Notre Dame J. Formal Logic, 65(4), 481–500. arXiv: 1709.06249 MR: 4843990
• Abstract:
  We generalize the combinatorial principles $C_n(\kappa), C^s_n(\kappa)$ and $Princ(\kappa)$ introduced by various authors, and prove some of their properties and connections between them. We also answer a question asked by Juhasz-Kunen about the relation between these principles, by showing that $C_n(\kappa)$ does not imply $C_{n+1}(\kappa)$, for any $n>2$. We also show the consistency of $C(\kappa)+\neg C^s(\kappa).$
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@article{Sh:1125,
 author = {Golshani, Mohammad and Shelah, Saharon},
 title = {{On $C^s_n(\kappa)$ and the Juhasz-Kunen question}},
 journal = {Notre Dame J. Formal Logic},
 volume = {65},
 number = {4},
 year = {2024},
 pages = {481-500},
 mrnumber = {4843990},
 note = {\href{https://arxiv.org/abs/1709.06249}{arXiv: 1709.06249}},
 arxiv_number = {1709.06249}
}