Graduate studies at Western
Journal of Symbolic Logic 64 (3):1111-1124 (1999)
|Abstract||The existence of End Elementary Extensions of models M of ZFC is related to the ordinal height of M, according to classical results due to Keisler, Morley and Silver. In this paper, we further investigate the connection between the height of M and the existence of End Elementary Extensions of M. In particular, we prove that the theory `ZFC + GCH + there exist measurable cardinals + all inaccessible non weakly compact cardinals are possible heights of models with no End Elementary Extensions' is consistent relative to the theory `ZFC + GCH + there exist measurable cardinals + the weakly compact cardinals are cofinal in ON'. We also provide a simpler coding that destroys GCH but otherwise yields the same result|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Jaime I. Ihoda & Saharon Shelah (1989). Martin's Axioms, Measurability and Equiconsistency Results. Journal of Symbolic Logic 54 (1):78-94.
Vladimir Kanovei & Michael Reeken (1998). Elementary Extensions of External Classes in a Nonstandard Universe. Studia Logica 60 (2):253-273.
Menachem Kojman & Saharon Shelah (1992). Nonexistence of Universal Orders in Many Cardinals. Journal of Symbolic Logic 57 (3):875-891.
Oliver Deiser & Dieter Donder (2003). Canonical Functions, Non-Regular Ultrafilters and Ulam's Problem on Ω. Journal of Symbolic Logic 68 (3): 713- 739.
Albin L. Jones (2006). A Polarized Partition Relation for Weakly Compact Cardinals Using Elementary Substructures. Journal of Symbolic Logic 71 (4):1342 - 1352.
J. Vickers & P. D. Welch (2001). On Elementary Embeddings From an Inner Model to the Universe. Journal of Symbolic Logic 66 (3):1090-1116.
John E. Hutchinson (1976). Elementary Extensions of Countable Models of Set Theory. Journal of Symbolic Logic 41 (1):139-145.
Ali Enayat (2001). Power-Like Models of Set Theory. Journal of Symbolic Logic 66 (4):1766-1782.
Andrés Villaveces (1998). Chains of End Elementary Extensions of Models of Set Theory. Journal of Symbolic Logic 63 (3):1116-1136.
Matt Kaufmann (1983). Blunt and Topless End Extensions of Models of Set Theory. Journal of Symbolic Logic 48 (4):1053-1073.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Total downloads1 ( #292,081 of 739,303 )
Recent downloads (6 months)1 ( #61,243 of 739,303 )
How can I increase my downloads?