Club guessing sequences and filters

Journal of Symbolic Logic 70 (4):1037-1071 (2005)
Abstract
We investigate club guessing sequences and filters. We prove that assuming V=L, there exists a strong club guessing sequence on μ if and only if μ is not ineffable for every uncountable regular cardinal μ. We also prove that for every uncountable regular cardinal μ, relative to the existence of a Woodin cardinal above μ, it is consistent that every tail club guessing ideal on μ is precipitous
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2178/jsl/1129642114
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 34,581
Through your library

References found in this work BETA

The Fine Structure of the Constructible Hierarchy.R. Björn Jensen - 1972 - Annals of Mathematical Logic 4 (3):229-308.
The Universality Spectrum of Stable Unsuperstable Theories.Menachem Kojman & Saharon Shelah - 1992 - Annals of Pure and Applied Logic 58 (1):57-72.
Woodin Cardinals and Presaturated Ideals.Noa Goldring - 1992 - Annals of Pure and Applied Logic 55 (3):285-303.

Add more references

Citations of this work BETA

The Comparison of Various Club Guessing Principles.Tetsuya Ishiu - 2015 - Annals of Pure and Applied Logic 166 (5):583-600.
The Saturation of Club Guessing Ideals.Tetsuya Ishiu - 2006 - Annals of Pure and Applied Logic 142 (1):398-424.

Add more citations

Similar books and articles

Infinitary Combinatorics and Modal Logic.Andreas Blass - 1990 - Journal of Symbolic Logic 55 (2):761-778.
Two Weak Consequences of 0#. [REVIEW]M. Gitik, M. Magidor & H. Woodin - 1985 - Journal of Symbolic Logic 50 (3):597 - 603.
Club Guessing and the Universal Models.Mirna Džamonja - 2005 - Notre Dame Journal of Formal Logic 46 (3):283-300.
Laver Sequences for Extendible and Super-Almost-Huge Cardinals.Paul Corazza - 1999 - Journal of Symbolic Logic 64 (3):963-983.
Gender and the Philosophy Club.Stephen Stich & Wesley Buckwalter - 2011 - The Philosophers' Magazine 52 (52):60-65.
The First Rule of Fight Club.Nancy Bauer - 2011 - In Thomas Wartenberg (ed.), Fight Club. Routledge.
Countable Filters on Ω.Otmar Spinas - 1999 - Journal of Symbolic Logic 64 (2):469-478.
Stationary Sets and Infinitary Logic.Saharon Shelah & Jouko Väänänen - 2000 - Journal of Symbolic Logic 65 (3):1311-1320.
Splitting Number at Uncountable Cardinals.Jindřich Zapletal - 1997 - Journal of Symbolic Logic 62 (1):35-42.

Analytics

Added to PP index
2010-08-24

Total downloads
6 ( #651,145 of 2,268,375 )

Recent downloads (6 months)
1 ( #373,468 of 2,268,375 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature