Ultrafilter extensions do not preserve elementary equivalence

Denis I. Saveliev; Saharon Shelah

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Ultrafilter extensions do not preserve elementary equivalence

机译：超滤器扩展不保留基本的等价

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摘要

We show that there are models M_1 and M_2 such that M_1 elementarily embeds into M_2 but their ultrafilter extensions β(M_1) and β(M_2) are not elementarily equivalent.

机译：None

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《Mathematical logic quarterly: MLQ》 |2019年第4期|共6页
作者
Denis I. Saveliev; Saharon Shelah;
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作者单位

Institute for Information Transmission Problems Russian Academy of Sciences Bolshoy Karetny Lane 19 build. 1 Moscow 127051 Russia;

Einstein Institute of Mathematics The Hebrew University of Jerusalem Edmond J. Safra Campus Givat Ram Jerusalem 9190401 Israel;

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原文格式 PDF
正文语种 eng
中图分类数理逻辑、数学基础;
关键词
Ultrafilter extensions; preserve elementary equivalence; model;

机译：超薄延伸;保留基本等价;模型;

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4. On ultrafilter extensions of first-order models and ultrafilter interpretations [J] . Poliakov Nikolai L., Saveliev Denis I. Archive for Mathematical Logic . 2021,第5期

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5. The existence of free ultrafilters on ω does not imply the extension of filters on ω to ultrafilters [J] . Hall E.J., Keremedis K., Tachtsis E. Mathematical logic quarterly: MLQ . 2013,第4a5期

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7. Preservice elementary teachers' conceptions of algebra and algebraic equivalence. [D] . Stephens, Ana C. 2004

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10. Some Problems Related to Equivalence of Measures: Extension of Cylinder Set Measures and a Martingale Transformation [R] . Gualtierotti, A. F. 1972

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Ultrafilter extensions do not preserve elementary equivalence

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