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Maximal models up to the first measurable in ZFC
Journal of Mathematical Logic 24 (1) (2023)
Abstract
Theorem: There is a complete sentence [Formula: see text] of [Formula: see text] such that [Formula: see text] has maximal models in a set of cardinals [Formula: see text] that is cofinal in the first measurable [Formula: see text] while [Formula: see text] has no maximal models in any [Formula: see text].Author's Profile
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References found in this work
Knight's model, its automorphism group, and characterizing the uncountable cardinals.Greg Hjorth - 2002 - Journal of Mathematical Logic 2 (01):113-144.
The amalgamation spectrum.John T. Baldwin, Alexei Kolesnikov & Saharon Shelah - 2009 - Journal of Symbolic Logic 74 (3):914-928.
Complete Lω1,ω‐sentences with maximal models in multiple cardinalities.John Baldwin & Ioannis Souldatos - 2019 - Mathematical Logic Quarterly 65 (4):444-452.
The Hanf number for amalgamation of coloring classes.Alexei Kolesnikov & Chris Lambie-Hanson - 2016 - Journal of Symbolic Logic 81 (2):570-583.
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