On Cns(κ) and the Juhász–Kunen Question
We generalize the combinatorial principles Cn(κ), Cns(κ), and Princ(κ) introduced by various authors, and prove some of their properties and connections between them. We also answer a question asked by Juhász and Kunen about the relation between these principles, by showing that Cn(κ) does not imply Cn+1(κ) for any n>2. We also show the consistency of C(κ)+¬Cs(κ).
Authors
- Saharon Shelah (ORCID: https://orcid.org/0000-0003-0462-3152)
- Mohammad Amin Golshani (ORCID: https://orcid.org/0000-0002-4689-1510)
Institutions
- Rutgers, The State University of New Jersey (US)
- Hebrew University of Jerusalem (IL)
- Institute for Research in Fundamental Sciences (IR)
Publication Details
- Journal
- Notre Dame Journal of Formal Logic
- Published
- 2024-11-01
- DOI
- https://doi.org/10.1215/00294527-2024-0026
- Primary Topic
- History and Theory of Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00