Uncountable Real Closed Fields with PA Integer Parts
classification
🧮 math.LO
keywords
realclosedfieldsintegermodelspartsuncountableaquino
read the original abstract
D'Aquino, Knight and Starchenko classified the countable real closed fields with integer parts that are nonstandard models of Peano Arithmetic. We rule out some possibilities for extending their results to the uncountable and study real closures of $\omega_1$-like models of PA.
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