A Model Existence Theorem for Infinitary Formulas in Metric Spaces

Carlos Ortiz

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arXiv · math/9802114

A Model Existence Theorem for Infinitary Formulas in Metric Spaces

Carlos Ortiz

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Abstract

We prove a Model Existence Theorem for a fully infinitary logic for metric structures. This result is based on a generalization of the notions of approximate formulas and approximate truth in normed structures introduced by Henson and studied in different forms by Anderson and Fajardo & Keisler. This theorem extends Henson's Compactness Theorem for approximate truth in normed space structures to infinitary formulas.

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BibTeX RIS

Carlos Ortiz. 1998-02-24. A Model Existence Theorem for Infinitary Formulas in Metric Spaces. https://arxiv.org/abs/math/9802114

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