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SATURATED MODELS FOR THE WORKING MODEL THEORIST

Part of: Set theory Model theory

Published online by Cambridge University Press:  17 February 2023

YATIR HALEVI Open the ORCID record for YATIR HALEVI [Opens in a new window]  and
ITAY KAPLAN Open the ORCID record for ITAY KAPLAN [Opens in a new window]
YATIR HALEVI
Affiliation:
THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES TORONTO, ON, CANADA E-mail: yatirh@gmail.com
ITAY KAPLAN
Affiliation:
EINSTEIN INSTITUTE OF MATHEMATICS HEBREW UNIVERSITY OF JERUSALEM 91904 JERUSALEM, ISRAEL E-mail: kaplan@math.huji.ac.il
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Abstract

We put in print a classical result that states that for most purposes, there is no harm in assuming the existence of saturated models in model theory. The presentation is aimed for model theorists with only basic knowledge of axiomatic set theory.

Keywords

saturated modelsinner modelconstructible universecompletenessquantifier elimination

MSC classification

Primary: 03C50: Models with special properties (saturated, rigid, etc.) 03E45: Inner models, including constructibility, ordinal definability, and core models
Secondary: 03C10: Quantifier elimination, model completeness and related topics

Information

Type
Articles
Information
Bulletin of Symbolic Logic , Volume 29 , Issue 2 , June 2023 , pp. 163 - 169
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of The Association for Symbolic Logic

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