An embedding theorem of 𝔼0 with model theoretic applications-Reference-Cited by-同舟云学术

An embedding theorem of 𝔼0 with model theoretic applications

Published:2014-12 Issue:02 Volume:14 Page:1450010
ISSN:0219-0613
Container-title:Journal of Mathematical Logic
language:en
Short-container-title:J. Math. Log.

Author:

Kaplan Itay¹,Miller Benjamin D.²³

Affiliation:

1. The Hebrew University of Jerusalem, Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, Jerusalem 91904, Israel

2. Kurt Gödel Research Center for Mathematical Logic, Universität Wien, Währinger Strasse 25, 1090 Wien, Austria

3. Institut für Mathematische Logik und Grundlagenforschung, Fachbereich Mathematik und Informatik, Universität Münster, Einsteinstrasse 62, 48149 Münster, Germany

Abstract

We provide a new criterion for embedding 𝔼0, and apply it to equivalence relations in model theory. This generalize the results of the authors and Pierre Simon on the Borel cardinality of Lascar strong types equality, and Newelski's results about pseudo Fσ groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Logic

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021906131450010X

Reference7 articles.

1. Model theoretic connected components of groups

2. A Glimm-Effros dichotomy for Borel equivalence relations

3. The Borel cardinality of Lascar strong types

4. Classical Descriptive Set Theory

5. The diameter of a Lascar strong type

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