On Cns(К) and the Juhász–Kunen Question

Mohammad Golshani; Saharon Shelah

doi:10.1215/00294527-2024-0026

On C_n^s(К) and the Juhász–Kunen Question

Mohammad Golshani
, Saharon Shelah

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We generalize the combinatorial principles C_n(К), C_n^s(К), and P rinc(К) 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 C_n(К) does not imply C_n+₁(К) for any n > 2. We also show the consistency of C(К) + -C^s(К).

Original language	English
Pages (from-to)	481-500
Number of pages	20
Journal	Notre Dame Journal of Formal Logic
Volume	65
Issue number	4
DOIs	https://doi.org/10.1215/00294527-2024-0026
State	Published - Nov 2024

Bibliographical note

Publisher Copyright:
© 2024 by University of Notre Dame.

Keywords

Cohen extension
Kunen–Juhasz question
infinite combinatorial principles

Access to Document

10.1215/00294527-2024-0026

Cite this

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abstract = "We generalize the combinatorial principles Cn(К), Cns(К), and P rinc(К) introduced by various authors, and prove some of their properties and connections between them. We also answer a question asked by Juh{\'a}sz and Kunen about the relation between these principles, by showing that Cn(К) does not imply Cn+1(К) for any n > 2. We also show the consistency of C(К) + -Cs(К).",

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