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arxiv: 1512.01827 · v1 · pith:NZSVKCXZnew · submitted 2015-12-06 · 🧮 math.LO

Good ultrafilters and highly saturated models: a friendly explanation

classification 🧮 math.LO
keywords goodhighlymodelssaturatedultrafiltersanalysisconstructeddense
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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 $\kappa^+$-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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