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Uniformly locally o‐minimal open core
Mathematical Logic Quarterly 67 (4):514-524 (2021)
Abstract
This paper discusses sufficient conditions for a definably complete expansion of a densely linearly ordered abelian group to have uniformly locally o‐minimal open cores of the first/second kind and strongly locally o‐minimal open core, respectively.My notes
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References found in this work
Uniformly locally o-minimal structures and locally o-minimal structures admitting local definable cell decomposition.Masato Fujita - 2020 - Annals of Pure and Applied Logic 171 (2):102756.
Dimension inequality for a definably complete uniformly locally o-minimal structure of the second kind.Masato Fujita - 2020 - Journal of Symbolic Logic 85 (4):1654-1663.
Expansions of dense linear orders with the intermediate value property.Chris Miller - 2001 - Journal of Symbolic Logic 66 (4):1783-1790.
Locally o-minimal structures and structures with locally o-minimal open core.Antongiulio Fornasiero - 2013 - Annals of Pure and Applied Logic 164 (3):211-229.
Notes on local o‐minimality.Carlo Toffalori & Kathryn Vozoris - 2009 - Mathematical Logic Quarterly 55 (6):617-632.
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