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arXiv · 1205.5156

Uncountable Real Closed Fields with PA Integer Parts

David Marker·James Schmerl·Charles Steinhorn
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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 $ω_1$-like models of PA.

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David Marker, James Schmerl, Charles Steinhorn. 2014-01-24. Uncountable Real Closed Fields with PA Integer Parts. https://arxiv.org/abs/1205.5156

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