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On expansions and extensions of powerful digraphs

✍ Scribed by S. V. Sudoplatov

Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
139 KB
Volume
50
Category
Article
ISSN
0037-4466

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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