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Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations -
M. Džamonja, S. Shelah (1996)
Saturated Filters at Successors of Singulars, Weak Reflection and Yet Another Weak Club PrincipleAnn. Pure Appl. Log., 79
- Publisher
- Springer Journals
- Copyright
- Copyright © Springer-Verlag GmbH Germany, part of Springer Nature 2021
- ISSN
- 0933-5846
- eISSN
- 1432-0665
- DOI
- 10.1007/s00153-020-00754-3
- Publisher site
- See Article on Publisher Site
Abstract
We revisit several results concerning club principles and nonsaturation of the nonstationary ideal, attempting to improve them in various ways. So we typically deal with a (non necessarily normal) ideal J extending the nonstationary ideal on a regular uncountable (non necessarily successor) cardinal κ\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\kappa $$\end{document}, our goal being to witness the nonsaturation of J by the existence of towers (of length possibly greater than κ+\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\kappa ^+$$\end{document}).
Journal
Archive for Mathematical Logic – Springer Journals
Published: Jan 2, 2021
Keywords: Club principle; Saturated ideal; Tower; 03E05