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Some definable properties of sets in non-valuational weakly o-minimal structures

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Publication:527334
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DOI10.1007/s00153-017-0523-1zbMath1367.03073OpenAlexW2580425055MaRDI QIDQ527334

Somayyeh Tari

Publication date: 11 May 2017

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

Full work available at URL: https://doi.org/10.1007/s00153-017-0523-1

zbMATH Keywords

weak o-minimalitycurve selectiona \(C^r\)-strong cell decomposition propertydefinable compactnessnon-valuational weakly o-minimal expansions of real closed fields and ordered groups


Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Ordered groups (06F15) Model theory of ordered structures; o-minimality (03C64) Model theory of fields (12L12) Real and complex fields (12D99)




Cites Work

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  • Weakly o-minimal nonvaluational structures
  • On expansions of weakly o-minimal non-valuational structures by convex predicates
  • Elimination of quantifiers for ordered valuation rings
  • Definable Sets in Ordered Structures. I
  • Definable Sets in Ordered Structures. II
  • Definable Compactness and Definable Subgroups of o-Minimal Groups
  • Weakly o-minimal structures and real closed fields
  • On the strong cell decomposition property for weakly o-minimal structures
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