Splitting number at uncountable cardinals

Journal of Symbolic Logic 62 (1):35-42 (1997)
Abstract
We study a generalization of the splitting number s to uncountable cardinals. We prove that $\mathfrak{s}(\kappa) > \kappa^+$ for a regular uncountable cardinal κ implies the existence of inner models with measurables of high Mitchell order. We prove that the assumption $\mathfrak{s}(\aleph_\omega) > \aleph_{\omega + 1}$ has a considerable large cardinal strength as well
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2275730
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: 33,066
Through your library

References found in this work BETA

Shelah's Pcf Theory and its Applications.Maxim R. Burke & Menachem Magidor - 1990 - Annals of Pure and Applied Logic 50 (3):207-254.

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

On Some Small Cardinals for Boolean Algebras.Ralph McKenzie & J. Donald Monk - 2004 - Journal of Symbolic Logic 69 (3):674-682.
Full Reflection at a Measurable Cardinal.Thomas Jech & Jiří Witzany - 1994 - Journal of Symbolic Logic 59 (2):615-630.
Producing Measurable Cardinals Beyond Κ.E. M. Kleinberg - 1981 - Journal of Symbolic Logic 46 (3):643-648.
Co-Stationarity of the Ground Model.Natasha Dobrinen & Sy-David Friedman - 2006 - Journal of Symbolic Logic 71 (3):1029 - 1043.
Bounds for Covering Numbers.Andreas Liu - 2006 - Journal of Symbolic Logic 71 (4):1303 - 1310.
Ad and Patterns of Singular Cardinals Below Θ.Arthur W. Apter - 1996 - Journal of Symbolic Logic 61 (1):225-235.

Analytics

Added to PP index
2009-01-28

Total downloads
197 ( #26,167 of 2,241,613 )

Recent downloads (6 months)
3 ( #157,120 of 2,241,613 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature