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Extensions by Means of Expansions and Selections

โœ Scribed by Gutev, Valentin ;Ohta, Haruto ;Yamazaki, Kaori

Publisher
Springer
Year
2006
Tongue
English
Weight
612 KB
Volume
14
Category
Article
ISSN
0927-6947

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Models of expansions of with no end exte
Models of expansions of with no end extensions
โœ Saharon Shelah ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 297 KB ๐Ÿ‘ 1 views

We deal with models of Peano arithmetic (specifically with a question of Ali Enayat). The methods are from creature forcing. We find an expansion of N such that its theory has models with no (elementary) end extensions. In fact there is a Borel uncountable set of subsets of N such that expanding N b