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arXiv · 1512.01827

Good ultrafilters and highly saturated models: a friendly explanation

Paul E. Lammert
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Abstract

Highly saturated models are a fundamental part of the model-theoretic machinery of nonstandard analysis. Of the two methods for producing them, ultrapowers constructed with the aid of $κ^+$-good ultrafilters seems by far the less popular. Motivated by the hypothesis that this is partly due to the standard exposition being somewhat dense, a presentation is given which is designed to be easier to digest.

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Paul E. Lammert. 2015-12-06. Good ultrafilters and highly saturated models: a friendly explanation. https://arxiv.org/abs/1512.01827

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