Sh:1125

• Golshani, M., & Shelah, S. On C^s_n(\kappa) and the Juhasz-Kunen question. Notre Dame J. Formal Logic. To appear. arXiv: 1709.06249
• 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},
 year = {to appear},
 note = {\href{https://arxiv.org/abs/1709.06249}{arXiv: 1709.06249}},
 arxiv_number = {1709.06249}
}