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Journal of Symbolic Logic
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CONTINUOUS SENTENCES PRESERVED UNDER REDUCED PRODUCTS

Continuous sentences preserved under reduced products
Authors: Isaac Goldbring; H. Jerome Keisler;

CONTINUOUS SENTENCES PRESERVED UNDER REDUCED PRODUCTS

Abstract

AbstractAnswering a question of Cifú Lopes, we give a syntactic characterization of those continuous sentences that are preserved under reduced products of metric structures. In fact, we settle this question in the wider context of general structures as introduced by the second author.

Keywords

reduced product, general structure, Ultraproducts and related constructions, FOS: Mathematics, Continuous model theory, model theory of metric structures, Mathematics - Logic, Interpolation, preservation, definability, Logic (math.LO)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Top 10%
Average
Green
bronze