On $C^s_n(\kappa)$ and the Juhasz-Kunen question

Mohammad Golshani; Saharon Shelah

On $C^s_n(\kappa)$ and the Juhasz-Kunen question

Logic 2017-11-28 v2

Authors: Mohammad Golshani , Saharon Shelah

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 $C(\kappa)+\neg C^s(\kappa).$

Keywords

combinatorial principles Juhasz-Kunen question set theory consistency

Cite

@article{arxiv.1709.06249,
  title  = {On $C^s_n(\kappa)$ and the Juhasz-Kunen question},
  author = {Mohammad Golshani and Saharon Shelah},
  journal= {arXiv preprint arXiv:1709.06249},
  year   = {2017}
}

Comments

This is publication 1125 of second author

On $C^s_n(\kappa)$ and the Juhasz-Kunen question

Abstract

Keywords

Cite

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