Ultrafilter extensions do not preserve elementary equivalence

DOI10.1002/MALQ.201900045OpenAlexW2995386752WikidataQ126553481 ScholiaQ126553481MaRDI QIDQ5108878

Denis I. Saveliev, Saharon Shelah

Publication date: 6 May 2020

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06198

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Logic with extra quantifiers and operators (03C80) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Set-theoretic model theory (03C55) Topological representations of algebraic systems (54H10) Other model constructions (03C30)

Related Items (2)

On the canonical Ramsey theorem of Erdős and Rado and Ramsey ultrafilters ⋮ On ultrafilter extensions of first-order models and ultrafilter interpretations

Cites Work

• Unnamed Item
• Algebra in the Stone-Čech compactification. Theory and applications
• Model theory.
• Ultrafilter extensions of linearly ordered sets.
• Ultrafilter Extensions of Models

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