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Multimetric continuous model theory

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Title: Multimetric continuous model theory
Authors: Caulfield, Erin
Advisor: Ross, David
Issue Date: 2012
Publisher: University of Hawaii at Manoa
Abstract: In this paper, we study metric structures with a finite number of metrics by extending the model theory developed by Ben Yaacov et al. in themonograph Model theory for metric structures. We first define a metric structure with finitely many metrics, develop the theory of ultraproducts of multimetric structures, and prove some classical model-theoretic theorems about saturation for structures with multiple metrics. Next, we give a characterization of axiomatizability of certain classes of multimetric structures. Finally, we discuss potential avenues of research regarding structures with multiple metrics.
Description: Plan B paper, M.A., Mathematics, University of Hawaii at Manoa, 2012
Pages/Duration: 28 pages
Rights: All UHM dissertations and theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner.
Appears in Collections:M.A. Plan B Theses- Mathematics Department

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