Pathological examples of structures with o‐minimal open core

This paper answers several open questions around structures with o‐minimal open core. We construct an expansion of an o‐minimal structure R by a unary predicate such that its open core is a proper o‐minimal expansion of R. We give an example of a structure that has an o‐minimal open core and the exc...

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Veröffentlicht in:Mathematical logic quarterly 2021-08, Vol.67 (3), p.382-393
Hauptverfasser: Block Gorman, Alexi, Caulfield, Erin, Hieronymi, Philipp
Format: Artikel
Sprache:eng
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